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基本資料表

鄭穗生 Sui-Sun Cheng
03-571-5131 ext. 33018
03-572-3888
鄭穗生 Sui-Sun Cheng

教師

應用數學
綜三館618室
學校名稱國別系所學位起迄年月
美國加州大學戴維斯分校數學系博士~
服務機關名稱單位職務期間
國立清華大學數學系教授1984-08~
國立清華大學數學系副教授1978-08~1984-07
年度論文名稱
, S. S. Cheng (1976), Systems conjugate and focal points of fourth order non-selfadjoint equations, Trans. Amer. Math. Soc., 223, pp. 155-165.
, S. S. Cheng (1977), Comparison of eigenvalues for systems of linear differential equations, Proc. Amer. Math. Soc., 64, pp. 81-86
, S. S. Cheng (1977), Oscillatory behaviour of solutions of a pair of second order differential equations I, Utilitas Math., 12, pp. 157-181.
, S. S. Cheng (1977), Eigenvalue problems of fourth order differential equations, Ann. Math. Pura App., 115, pp. 329-340.
, S. S. Cheng (1978), Oscillatory behaviour of solutions of a pair of second order differential equations II, Utilitas Math., 13, pp. 211-229
, S. S. Cheng and A. Edelson (1978), Fourth order nonselfadjoint differential equations with clamped free boundary conditions, Ann. Math. Pura App., 118, pp. 131-142.
, S. S. Cheng, On the n-dimensional oscillator, Ann. Math. Pura App., 119, pp. 247-258.
, S. S. Cheng, Nonoscillatory solutions of , Canadian Math. Bulletin, 22, pp. 17-21.
, S. S. Cheng, Ordinary differential operators and their convolution adjoints, Bull. Inst. Math. Acad. Sinica, 7, pp. 443-459.
, S. S. Cheng (1979), Systems conjugacy of a pair of second order nonhomogeneous differential equations, Chinese J. Math., 7, pp. 7-14.
, S. S. Cheng (1979), Sturmian theorems for components of coupled elliptic systems, Portugaliae Mathematica, 38, pp. 113-117.
, S. S. Cheng (1980), Right balanced eigenfunctions of even order differential equations, Chinese J. Math., 8, pp. 69-76.
, S. S. Cheng (1980), On a class of fourth order half-linear differential equations, Czechoslovak Math. J., 30(105), pp. 84-97.
, S. S. Cheng (1980), Oscillatory structure of the solution space of a pair of second order differential equations, Bull. Inst. Math. Acad. Sinica, 8, pp. 561-570.
, S. S. Cheng and A. M. Cho (1982), Convexity of nodes of discrete Sturm Liouville functions, Hokkaido Math. J., 11, pp. 8-14.
, S. S. Cheng (1982), Isoperimetric eigenvalue problem of even order differential equations, Pacific J. Math., 99, pp. 303-315.
, S. S. Cheng (1982), Monotone solutions of , Chinese J. Math., 10, pp. 71-75.
, S. S. Cheng (1983), A discrete analogue of the inequality of Lyapunov, Hokkaido Math. J., 12, pp. 105-112.
, S. S. Cheng and Y. T. Huang (1983), Optimal intersections of plane lattice points with vertical and horizontal straight ines, Proceedings of the Cambridge Philosophical Society, 94(3), pp. 381-388.
, S. S. Cheng (1984), On a class of fourth order linear recurrence equations, International J. Math. & Math. Sci., 7, pp. 131-149.
, S. S. Cheng and T. T. Lu (1985), The bisection algorithm is not linearly convergent, The College Math. J., 16, pp. 56-57.
, S. S. Cheng (1985), Sturmian comparison theorems for three term recurrence equations, J. Math. Anal. Appl., 111, pp. 464-474.
, S. S. Cheng and T. T. Lu (1986), Convex regular domains of tridiagonal matrices, Linear Algebra and its Appl., 79, pp. 103-125.
, S. S. Cheng and T. T. Lu (1986), The maximum of a bilinear form under rearrangement, Tamkang J. Math., 17, pp. 161-168.
, S. S. Cheng (1987), Discrete quadratic Wirtinger's inequalities, Linear Algebra and its Appl., 85, pp. 57-73.
, S. S. Cheng, H. J. Li, T. T. Lu and S. H. Wu (1987), Regular and singular orthants of tridiagonal matrices, Linear Algebra and its Appl., 94, pp. 181-191.
, S. S. Cheng (1987), Optimal fundamental frequencies of the loaded vibrating string, Tamkang J. Math., 18, pp. 23-32.
, S. S. Cheng and H. J. Li (1988), Oscillatory behavior of a class of nonlinear three term recurrence equations, Funkcialaj Ekvacioj, 31, pp. 75-87.
, S. S. Cheng (1988), Regular domains of tridiagonal matrices, International Series of Numerical Math., 86, pp. 105-113.
, S. S. Cheng, H. J. Li and W. T. Patula (1989), Bounded and zero convergent solutions of second order difference equations, J. Math. Anal. Appl., 141, pp. 463-483.
, S. S. Cheng and L. Y. Hsieh (1989), On discrete analogue of Lyapunov inequality: addendum, Tamkang J. Math., 20, pp. 333-340.
, S. S. Cheng (1989), A sharp condition for the ground state of difference equation, Applicable Analysis, 34, pp. 105-109.
, S. S. Cheng (1990), Rearrangement inequalities for eigenvalues of differential eigenvalue problems, Bull. Inst. Math. Acad. Sinica, 18, pp. 13-18.
, S. S. Cheng, T. T. Lu and S. H. Wu (1990), Regular starlike domains of tridiagonal matrices, Linear Algebra and its Appl., 129, pp. 29-54.
, S. S. Cheng, L. Y. Hsieh and Z. T. Chao (1990), Discrete Lyapunov inequality conditions for partial difference equations, Hokkaido Math. J., 19, pp. 229-239.
, S. S. Cheng and H. J. Li (1990), Bounded solutions of nonlinear difference equations, Tamkang J. Math., 21, pp. 137-142.
, S. S. Cheng (1990), Maximal displacements of the discrete loaded strings, (System modelling and optimization, Leipzig, 1989), Lecture Notes Control Inf. Sci., 143, pp. 466-469.
, S. S. Cheng and L. Y. Hsieh (1990), Inverses of matrices arising from difference operators, Utilitas Mathematica, 38, pp. 65-77.
, S. S. Cheng, T. C. Yan and H. J. Li (1991), Oscillation criteria for second order difference equations, Funkcialaj Ekvacioj, 34, pp. 223-239.
, S. S. Cheng (1991), Lyapunov inequality for system disconjugacy of even order differential equations, Tamkang J. Math., 22, pp. 193-197.
, S. S. Cheng and S. S. Lin (1991), Existence and uniqueness theorems for nonlinear difference equations, Utilitas Math., 39, pp. 167-186.
, S. S. Cheng and R. F. Lu (1991), Discrete Wirtinger's inequalities and conditions for partial difference equations, Fasciculi Mathematici, 23, pp. 9-24.
, S. S. Cheng (1991), Lyapunov inequality conditions for differential and difference equations, Fasiculi Mathematici, 23, pp. 25-41.
, S. S. Cheng (1991), Inverses of matrices arising from difference operators: synopsis, Linear Algebra and its Appl., 162-164, pp.744-746.
, S. S. Cheng and W. T. Patula (1993), An existence theorem for a nonlinear difference equation, Nonlinear Analysis - TMA, 20, pp. 193-203.
, S. S. Cheng and J. Y. Lo (1993), Singular surfaces and regular domains of tridiagonal matrices, Proc. Natl. Sci. Counc. ROC (A), 17, pp. 42-55
, S. S. Cheng, (1993), A Hille-Wintner type comparison theorem for n-th order linear differential equation, Applied Math. Letters, 6, pp. 79-81.
, H. J. Li and S. S. Cheng, (1993), An oscillation theorem for a second order nonlinear difference equation, Utilitas Math., 43, pp. 155-159.
, H. J. Li and S. S. Cheng (1993), Asymptotically monotone solutions of a nonlinear difference equation, Tamkang J. Math., 24, pp. 269-282.
, S. S. Cheng and T. T. Lu (1993), Maximal deflections of one dimensional loaded mechanical systems, Utilitas Math., 44, pp. 41-49.
, S. S. Cheng and R. F. Lu (1993), A generalization of the discrete Hardy's inequality, Tamkang J. Math., 24, pp. 469-475.
, S. S. Cheng and H. J. Li (1993) A comparison theorem for asymptotically monotone solutions of nonlinear difference equations, Bull. Inst. Math. Acad. Sinica, 21, pp. 299-302.
, S. S. Cheng (1994), A discrete Opial type inequality, Fasiculi Mathematici, 24, pp. 83-87.
, S. S. Cheng and B. G. Zhang (1994), Monotone solutions of a class of nonlinear difference equations, Computers Math. Appl., 28, pp. 71-79.
, S. S. Cheng and B. G. Zhang (1994), Qualitative theory of partial difference equations (I): Oscillation of nonlinear partial difference equations, Tamkang J. Math., 25, pp. 279-288.
, J. S. Yu and S. S. Cheng (1994), A stability criterion for a neutral difference equation with delay, Applied Math. Letters, 7, pp. 75-80.
, S. S. Cheng (1994), Oscillation theorems for linear fourth order differential and difference equations, Proceedings of the International Conference on Functional Differential Equations, Publishing House of Electronic Industry, China, pp. 37-46.
, S. S. Cheng (1994), Hille-Wintner type comparison theorems for nonlinear difference equations, Funkcialaj Ekvacioj, 37, pp. 531-535.
, S. S. Cheng, S. L. Xie and B. G. Zhang (1995), Qualitative theory of partial difference equations (II): Oscillation criteria for direct control systems in several variables, Tamkang J. Math., 26, pp. 65-79.
, S. S. Cheng (1995), An oscillation criterion for a discrete elliptic equation, Annals Diff. Eq., 11, pp. 10-13.
, S. S. Cheng and T. T. Lu (1995), An inequality for an integral quadratic form, Applied Math. Letters, 8, pp. 81-84.
, G. Zhang and S. S. Cheng (1995), Oscillation criteria for a class of neutral difference equations with delay, Applied Math. Letters, 8, pp. 13-17.
, B. G. Zhang and S. S. Cheng (1995), Oscillation criteria and comparison theorems for delay difference equations, Fasiculi Mathematici, 25, pp. 13-32.
, S. S. Cheng and B. K. Shyu (1995), On a class of rectangular mazes, Proc. Natl. Sci. Counc. ROC(A), 19, pp. 181-187.
, S. S. Cheng, S. L. Xie and B. G. Zhang (1995), Qualitative theory of partial difference equations (III): Forced oscillations of parabolic type partial difference equations, Tamkang J. Math., 26, pp. 177-192.
, B. G. Zhang, S. T. Liu and S. S. Cheng (1995), Oscillation of a class of delay partial difference equations, J. Difference Eq. Appl., 1, pp. 215-226.
, S. S. Cheng and G. Zhang (1995), Nonexistence criteria for positive solutions of a non-linear recurrence relation, Math. Comp. Modelling, 22, 59-66.
, B. G. Zhang and S. S. Cheng (1995), On a class of nonlinear difference equations, J. Difference Eq. Appl., 1, pp. 391-411.
, S. S. Cheng and J. R. Yan (1995), Monotone solutions of n-th order linear differential equations, Differential Equations and Dynamical Systems, 3, pp. 15-22.
, S. S. Cheng and G. Zhang (1995), Forced oscillations of a nonlinear recurrence relation, Proceedings of the 6-th Conference on Modern Mathematics and Mechanics, Soochow Univeristy Press, China, 1995, pp. 673-676.
, S. S. Cheng, B. G. Zhang and S. L. Xie (1995), Qualitative theory of partial difference equations (IV): Forced oscillations of hyperbolic type nonlinear partial difference equations, Tamkang J. Math., 26, pp. 337-360.
, B. G. Zhang and S. S. Cheng (1995), A discrete boundary value problem with delay, Bull. Inst. Math. Acad. Sinica, 23, pp. 305-315.
, S. L. Xie and S. S. Cheng (1995), Decaying solutions of neutral difference equations with delays, Annals Diff. Eq., 11, pp. 331-346.
, T. T. Lu and S. S. Cheng (1995), A necessary condition for the minimum of a quadratic form under rearrangements, Applied Math. Letters, 8, 95-98.
, B. G. Zhang and S. S. Cheng (1995), Comparison and oscillation theorems for an advanced type difference equation, Annals Diff. Eq., 11, pp. 485-494.
, S. L. Xie and S. S. Cheng (1995), Oscillation of a logistic equation with delay and diffusion, Ann. Polonici Math., LXII.3, pp. 219-230.
, S. S. Cheng and B. G. Zhang (1995), Nonexistence of positive non-decreasing solutions of a nonlinear difference equation, Proceedings of The First International Conference on Difference Equations, Gordon and Breach, 1995, pp. 115-122.
, S. S. Cheng (1996), An underdeveloped research area: Qualitative theory of functional partial difference equations, Proceedings of the International Mathematics Conference '94 at Sun Yat-Sen University, World Scientific, 1996, pp. 65-75.
, S. S. Cheng, B. G. Zhang and S. L. Xie (1996), Qualitative theory of partial difference equations (V): Sturmian theorems for a class of partial difference equations, Tamkang J. Math., 27, pp. 89-97.
, T. T. Lu and S. S. Cheng (1996), Form preserving linear integral operators, Computers Math. Appl., 31, pp. 117-134.
, S. S. Cheng and S. L. Xie (1996), Stability of a system of functional parabolic equations& , Bull. Institute Math. Acad. Sinica, 24, 103-120.
, Y. Z. Lin and S. S. Cheng (1996), Necessary and sufficient conditions for oscillations of linear partial difference equations with constant coefficients, PanAmerican Math. J., 6, pp. 61-67.
, Y. Z. Lin and S. S. Cheng (1996), Complete characterizations of a class of oscillatory difference equations, J. Difference Eq. Appl., 2, pp. 301-313.
, S. S. Cheng, Y. Z. Lin and S. L. Xie (1996),偏差分方程穩定性若干結果 (Stability criteria for certain partial difference equations),中國五屆常微分方程穩定性理論與應用學術會議論文集大連,1996,pp.74-77。
, G. Zhang and S. S. Cheng (1996), Elementary nonexistence criteria for a recurrence relation, Chinese J. Math., 24, 229-235.
, X. L. Zhou and S. S. Cheng (1996), Monotone solutions of a higher order nonlinear difference equation, Far East J. Math. Sci., 4, pp. 275-295.
, Y. Domshlak and S. S. Cheng (1996), Sturmian theorems for a partial difference equation Functional Differential Eq., 3, pp. 83-97.
, X. P. Guan, J. Yang and S. S. Cheng (1996), Linearized comparison criteria for a nonlinear neutral differential equation, Annales Polonici Mathematici, LXIV(2), pp.161-173.
, Y. Z. Lin and S. S. Cheng (1996), Stability criteria for two partial difference equations, Computers Math. Appl., 32(7), pp. 87-103.
, S. S. Cheng (1996), Sturmian theorems for hyperbolic type partial difference equations, J. Difference Eq. Appl., 2, 375-387.
, S. L. Xie and S. S. Cheng (1996), Stability for parabolic type partial difference equations, J. Comp. Appl. Math., 75, pp. 57-66.
, B. Liu and S. S. Cheng (1996), Positive solutions of second order nonlinear difference equations, J. Math. Anal. Appl., 204, 482-493.
, W. Zhuang, Y. Chen and S. S. Cheng (1996), Monotone methods for a discrete boundary value problem, Comput. Math. Appl., 32(12), 41-49.
, G. Zhang and S. S. Cheng (1997), Positive solutions of a nonlinear neutral difference equations, Nonlinear Analysis-T. M. A., 28(4), 729-738..
, J. G. Si, W. R. Li and S. S. Cheng (1997), Analytic solutions of an iterative functional differential equation, Computers Math. Appl., 33(6), 47-51.
, S. T. Liu and S. S. Cheng (1997), Nonexistence of positive solutions of a nonlinear partial difference equation, Tamkang J. Math., 28, 51-58.
, S. T. Liu, B. G. Zhang and S. S. Cheng (1997), Positive flows of an infinite network, Comm. Appl. Anal., 1, 83-90.
, Y. Z. Lin and S. S. Cheng (1997), Subexponential solutions of two partial difference equations with delays, Taiwanese J. Math., 1(2), 181-194.
, S. S. Cheng and Y. Z. Lin (1997), Bounds for solutions of a four-point partial difference equation, Far East J. Math. Sci., 5(2), 273-290.
, S. L. Xie, G. Zhang and S. S. Cheng (1997), Positive solutions of second order difference inequalities, Diff. Eq. Dynamical Sys., 5, 1-11.
, S. T. Liu and S. S. Cheng (1997), Existence of positive solutions of a partial difference equation, Far East J. Math. Sci., 5, 387-402.
, J. G. Si and S. S. Cheng (1997), Analytic solutions of a functional differential equation with state dependent argument, Taiwanese J. Math., 1, 471-480.
, S. L. Xie and S. S. Cheng (1997), Oscillation criteria for a class of neutral difference equations, Fasiculi Math., 27, 101-121.
, S. T. Liu and S. S. Cheng (1997), Oscillation criteria for a nonlinear difference equation, Far East J. Math. Sci., 5(4), 657-672.
, S. T. Liu and S. S. Cheng (1997), Comparison theorems for a nonlinear three-term equations, Tamkang J. Math., 28, 313-319.
, G. Zhang and S. S. Cheng (1997), On a functional differential equation related to the Emden-Fowler equation, Functional Diff. Eq., 4, 215-221.
, W. T. Li and S. S. Cheng (1997), Classifications and existence of positive solutions of second order nonlinear neutral difference equations, Funkcialaj Ekvacioj, 40, 371-393.
, T. T. Lu and S. S. Cheng (1997), Inequalities for integral bilinear forms acting on absolutely balanced functions, Applicable Anal., 66, 119-131.
, S. S. Cheng and Y. Z. Lin (1997), Stability of partial difference equations: An introduction, Part I(偏差分方程之穩定性引論 I), J. Binzhou Teachers College, 13(4), 71-80
, S. S. Cheng and B. G. Zhang (1997), Nonexistence of positive solutions of discrete elliptic equations: a synopsis, roceedings of The Second International Conference on Difference Equations, Gordon and Breach Publ., Amsterdam, pp. 119-123.
, S. S. Cheng and G. Zhang (1998), Monotone solutions of a higher order neutral difference equation, Georgian Math. J., 5, 49-54.
, G. Q. Wang and S. S. Cheng (1998), An existence and uniqueness theorem for a neutral differential equation with delay, Far East J. Math. Sci., 6(1), 51-56.
, S. S. Cheng and G. H. Lin (1998), Green's function and stability of a partial difference scheme, Comput. Math. Appl., 35(5), 27-41.
, Y. Z. Lin and S. S. Cheng (1998), Bounds for solutions of a three-point partial difference equation, Acta Math. Scientia, 18(1), 107-112.
, W. T. Li and S. S. Cheng (1998), Asymptotic trichotomy for positive solutions of a class of odd order nonlinear neutral difference equations, Computers Math. Applic., 35(8), 101-108.
, S. S. Cheng and Y. Z. Lin (1998), Complete characterizations of an oscillatory neutral difference equation, J. Math. Anal. Appl., 221, 73-91.
, L. M. Chen, Y. Z. Lin and S. S. Cheng (1998), Exact regions of oscillation for a difference equation with six parameters, J. Math. Anal. Appl., 222(1998), 92-109.
, S. S. Cheng and J. Y. Lin (1998), Stability criteria for a discrete reaction-diffusion equation, Far East J. Math. Sci., 6(3), 425-435.
, W. T. Li and S. S. Cheng (1998), Asymptotically linear solutions of a discrete Emden-Fowler equation, Far East J. Math. Sci., 6(4), 521-542.
, G. Zhang and S. S. Cheng (1998), Elementary oscillation criteria for a three term recurrence relation with oscillatory coefficient sequence, Tamkang J. Math., 29(3), 227-232.
, J. G. Si and S. S. Cheng (1998), Smooth solutions of a nonhomogeneous iterative functional differential equation, Proc. Royal Soc. Edinburgh 128A, 821-831.
, S. S. Cheng and B. G. Zhang (1998), Nonexistence criteria for positive solutions of a discrete elliptic equation, Fasiculi Math., 28, 19-30.
, W. T. Li and S. S. Cheng (1998), Oscillation criteria for a nonlinear difference equation, Comput. Math. Appl. 36(8), 87-94.
, B. Liu and S. S. Cheng, Note on a nonlinear difference equation with periodic coefficients and constant delays, Appl. Math. Lett., 11(5)(1998), 39-43.
, S. S. Cheng and Y. Z. Lin (1998), Stability of partial difference equations: An introduction, Part II(偏差分方程之穩定性引論 II), J. Binzhou Teachers College, 14(2), 74-80.
, B. Liu and S. S. Cheng (1998), Successive Approximations to positive solutions of nonlinear difference equations, Scientiae Math., 1(3), 1-5.
, J. G. Si and S. S. Cheng (1998), Note on an iterative functional differential equation, Demonstratio Math., 31, 609-614.
, C. J. Tien, S. L. Xie and S. S. Cheng (1998), Measures for oscillating sequences, Computers Math. Appl., 36(10-12), 149-161.
, W. T. Li and S. S. Cheng (1998), On a neutral difference equation with positive and negative coefficients, Southeast Asia Bull. Math., 22, 407-418.
, S. S. Cheng, J. G. Si and X. P. Wang (1998), Recent studies on smooth solutions of iterative functional differential equations, J. Binzhou Teachers College, 14(4), 17-21.
, G. Zhang, S. S. Cheng and Y. Gao (1999), Classification schemes for positive solutions of a second order nonlinear difference equation, J. Comp. Appl. Math., 101, 39-51.
, G. Q. Wang and S. S. Cheng (1999), A priori bounds for periodic solutions of a delay Rayleigh equation, Applied Math, Lett., 12, 41-44.
, J. G. Si, X. P. Wang and S. S. Cheng (1999), Analytic solutions of a functional differential equation with a state derivative dependent delay, Aequationes Math., 57, 75-86.
, W. T. Li and S. S. Cheng (1999), An oscillation theorem for a neutral difference equation with positive and negative coefficients, Tamkang J. Math., 30(1), 39-45.
, S. S. Cheng and Y. Z. Lin (1999), Exponential stability of a partial difference equation with nonlinear perturbation, Acta Math. Appl. Sinica, 15(1), 98-108.
, S. S. Cheng and R. Medina (1999), Growth conditions for a discrete heat equation with delayed control, Dynamic Sys. Appl., 8, 361-367.
, G. Zhang and S. S. Cheng (1999), Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation, Applicationes Math., 25(4), 393-399.
, S. S. Cheng and Y. Z. Lin (1999), General solutions of a four point partial difference equation, Far East J. Math. Sci., 1(4), 507-516.
, B. Liu and S. S. Cheng (1999), Monotone solutions of a higher order difference equation with advancement, Comm. Appl. Math., 373-381.
, G. Zhang and S. S. Cheng (1999), On connected half-linear differential equations, Demonstratio Math, 32(2), 345-354.
, W. T. Li, S. S. Cheng and G. Zhang (1999), A classification scheme for nonoscillatory solutions of a higher order neutral nonlinear difference equation, J. Austral. Math. Soc., Ser. A., 67, 121-142.
, G. Zhang, W. T. Li and S. S. Cheng (1999), Necessary and sufficient conditions for oscillation of delay difference equations with continuous arguments, Far East J. Math. Sci., 1(4)(1999), 501-506.
, G. Zhang and S. S. Cheng (1999), Note on a discrete Emden-Fowler equation, PanAmerican Math. J., 9(3)(1999), 57-64.
, S. S. Cheng and Y. F. Lu (1999), General solutions of a three-level partial difference equations, Computers Math. Appl., 38(7-8), 65-79.
, L. T. Li and S. S. Cheng (1999), Global attractivity in four-term recurrence relation, Tamkang J. Math., 30, 223-229..
, S. S. Cheng and J. G. Si (1999), Construction of maps with prescribed periodic orbits, Int J. Math. Educ. Sci. Technol., 30(5), 750-753.
, S. S. Cheng, G. Zhang and S.T. Liu (1999), Stability of oscillatory solutions of difference equations with delays, Taiwanese J. Math., 3(4), 503-515.
, S. S. Cheng, S. T. Liu and G. Zhang (1999), A multivariate oscillation theorem, Fasiculi Math, 30, 15-22.
, G. Zhang and S. S. Cheng (1999), Asymptotic stability of nonoscillatory solutions of nonlinear neutral differential equations involving the maximum function, International J. Appl. Math., 1(7)(1999), 771-779.
, S. S. Cheng and Y. Z. Lin, New developments in partial difference equations, J. Fujian Teachers Univ. (Natural Science), 15(4)(1999), 113-120 (in Chinese).
, X. P. Guan, J. Yang and S. S. Cheng (1999), Asymptotic and oscillatory behavior of higher order nonlinear neutral difference equations, Kyungpook Math. J., 39(2), 251-259.
, S. P. Guan, J. Yang, S. T. Liu and S. S. Cheng (1999), Oscillatory behavior of higher order nonlinear neutral difference equation, Hokkaido Math. J., 28(2), 393-403.
, S. S. Cheng and G. Zhang (2000), "Virus" in several discrete oscillation theorems, Applied Math. Lett., 13, 9-13.
, X. P. Guan, J. Yang and S. S. Cheng (2000), Positive solutions of a nonlinear neutral differenital equation with positive and negative coefficients, Acta Hung. Math., 86(3), 169-192.
, M. I. Gil' and S. S. Cheng (2000), Estimates for the norms of solutions of a perturbed linear dynamical system, Proc. Natl. Sci. Counc. ROC(A), 24(2), 95-98.
, S.S. Cheng, J. S. Yu and B. Liu (2001), An abstract existence result and its applications, Electronic J. Diff. Eqns, Conf. 06, 2001, pp. 101-107.
, B. Liu and S. S. Cheng (2001), A stability criterion for a neutral difference equation with two delays, Proc. Natl. Sci. Counc. ROC(A), 40-44.
, W. R. Li, S. S. Cheng and T. T. Lu (2001), Closed form solutions of iterative functional differential equations, Appl. Math. E-Notes, 1, 1-4.
, S. S. Cheng, Y. Z. Lin and G. Zhang (2001), Traveling waves of a discrete conservation law, PanAmerican Math. J., 11(1), 45-52.
, X. H. Tang and S. S. Cheng (2001), An oscillation criterion for linear difference equations with oscillatory coefficients, J. Comput. and Appl. Math., 132 (2) , 319-329.
, G. Zhang and S. S. Cheng (2001), Existence of positive periodic solutions of nonautonomous functional differential equations, E. J. Diff. Eqs., 59, 1-8.
, S. S. Cheng and F. Y. Hsieh (2001), Existence and localization theorems for a discrete nonlinear eigenvalue problem, Mathl. Comput. Modelling, 34, 623-640.
, R. Medina and S. S. Cheng (2001), Discrete reaction-diffusion equations: some results and applications, Nonlinear Anal., 47, 4679-4686.
, S. S. Cheng and Y. Z. Lin (2001), Detection of positive roots of a polynomial with five parameters, J. Comput. Appl. Math., 137, 19-48.
, W. R. Li and S. S. Cheng (2001), Wendroff type inequalities for nonlinear hyperbolic equations, Tamkang J. Math., 32, 327-333.
, M. Gil’ and S. S. Cheng (2001), Stability of delay difference equations in Banach Spaces, Ann. Diff. Eqs., 17(4), 307-317.
, S. S. Cheng and T. T. Lu (2001), Qualitative properties of matrices appearing in several mathematical models, Proc. Natl. Sci. Counc. ROC (A), 25(5), 269-283.
, G. Zhang and S. S. Cheng (2002), Eventually positive solutions of nonlinear neutral difference equations, Intern. Math. J., 2(3), 265-278.
, S. S. Cheng, J. G. Si. and X. P. Wang (2002), An existence theorem for iterative functional differential equations, Acta Math. Hungarica, 94(1-2), 1-17.
, C. V. Pao and S. S. Cheng (2002), Entire solutions of discrete elliptic equations, Southeast Asian Bull. Math., 26, 267-278.
, W. T. Li and S. S. Cheng (2002), A stability criterion for a nonlinear neutral difference equation with delay, Southeast Asian Bull. Math., 26, 803-810.
, S. S. Cheng and R. Medina (2002), Necessary and sufficient oscillation criteria for discrete reaction-diffusion equations, Proceedings of the Fifth International Conference on Difference Equations and Applications, Taylor and Francis, pp. 69-78.
, S. S. Cheng, R. Medina and Y. Z. Lin (2003), Ultimate distinction in a population model with delayed birth and migration, Southeast Asian Bull. Math., 26, 899-908.
, J. W. Li and S. S. Cheng (2002), Global attractivity in a survival model of Wazewska and Lasota, Quarterly Appl. Math., 60(3), 477-483.
, X. H. Tang and S. S. Cheng (2003), Global attractivity in a genotype selection model, Rocky Mountain J. Math., 33(3), 1175-1187.
, R. Medina and S. S. Cheng (2002), Asymptotic behaviors of the solutions of a discrete reaction-diffusion equation, Intern. J. Math. Math. Sci., 29(5), 257-264.
, W. T. Li and S. S. Cheng (2002), An oscillation criterion for nonhomogeneous half-linear differential equations, Appl. Math. Lett., 15, 259-263.
, J. G. Si and S. S. Cheng (2002), Analytic solutions of a functional differential equation with proportional delays, Bull. Korean Math. Soc., 39(2), 225-236.
, Z. Q. Zhu, G. Q. Wang and S. S. Cheng (2002), Asymptotic behavior of a class of impulsive differential equations, Far East J. Math. Sci., 5(3), 269-276.
, G. Q. Wang and S. S. Cheng (2002), Periodic solutions of N-th order delay Rayleigh equations, Ann. Polon. Math., 108(3), 261-266.
, W. R. Li and S. S. Cheng, Two new discrete Ou-Iang type inequalities, Tamkang J. Math., 31(4), 305-309.
, G. Zhang and S. S. Cheng (2002), Positive periodic solutions of nonautonomous functional differential equations depending on a parameter, Abstract Anal. Appl., 7(5), 279-286.
, R. Medina and S. S. Cheng, Asymptotic Behavior of a Discrete Reaction-Diffusion Equation with Several Delays, Dynamical Sys. Appl., 8, 361-367.
, W. T. Li and S. S. Cheng (2003), Remarks on two recent oscillation theorems for second order linear difference equations, Appl. Math. Letters, 16(2), 161-163.
, W. T. Li and S. S. Cheng (2003), An oscillation theorem for higher order nonhomogeneous superlinear differential equations, Appl. Math. E-Notes, 3, 58-61.
, W. R. Li and S. S. Cheng (2003), An inequality applicable to certain epidemic models, Intern. Math. J., 3(3), 253-262.
, G. Q. Wang and S. S. Cheng (2003), A priori bounds for periodic solutions of a delay Raleigh equation with damping, Tamkang J. Math., 34(3), 293-298.
, G. Zhang and S. S. Cheng (2003), Positive periodic solutions for discrete population models, Nonlinear Functional Anal. Appl., 8(3), 335-344.
, C. J. Tian, S. S. Cheng and S. L. Xie (2003), Frequent oscillation criteria for a delay difference equation, Funkcialaj Ekvacioj, 46(3), 421-439.
, Q. G. Yang and S. S. Cheng (2003), On the oscillation of self-adjoint matrix Hamiltonian systems, Proc. Edinburgh Math. Soc., 46, 609-625.
, G. Q. Wang and S. S. Cheng (2003), Note on the set of periodic solutions of a delay differential equation with piecewise constant argument, Intern. J. Pure & Appl. Math., 9(2003), 139-143.
, Q. G. Yang and S. S. Cheng (2003), Oscillation of second order half-linear differential equation with damping, Georgian Math. J., 10(4), 785-797.
, C. J. Tian and S. S. Cheng (2003), Oscillation criteria for delay neutral difference equations with positive and negative coefficients, Bol. Soc. Paran. Mat., 21, 19-30.
, S. G. Kang, G. Zhang and S. S. Cheng (2003), Periodic solutions of a class of integral equations, Topological Methods in Nonlinear Analysis, 245-252.
, S. S. Cheng, X. P. Guan and J. Yang (2000), Positive solutions of a nonlinear neutral differential equation with positive and negative coefficients, Acta Math. Hung. 86(3), 169-192.
, M. I. Gil’ and S. S. Cheng (2000), Estimates for the norms of solutions of a perturbed linear dynamical system, Proc. Natl. Sci. Counc. ROC(A), 24(2), 95-98.
, M. I. Gil’ and S. S. Cheng (2000), Estimates for the norms of solutions of a perturbed linear dynamical system, Proc. Natl. Sci. Counc. ROC(A), 24(2), 95-98.
, S. S. Cheng, Invitation to Partial Difference Equations, Communications in Difference Equations (Proceedings of the Fourth International Conference on Difference Equations and its Applications), Gordon and Breach, 2000, pp. 91-106.
, W. T. Li and S. S. Cheng (2000), Classifications and existence of positive solutions of a higher order nonlinear difference equation, Colloquium Math., 83(1), 137-153.
, S. S. Cheng and R. Medina (2000), Bounded and positive solutions of discrete steady state equations, Tamkang J. Math., 31(2), 131-135.
, S. S. Cheng and H. T. Yen (2000), On a nonlinear discrete boundary value problem, Linear Alg. Appl., 312, 193-201.
, W. T. Li and S. S. Cheng (2000), Oscillation criteria for a pair of coupled nonlinear difference equation, Intern. J. Appl. Math., 2(11), 1327-1333.
, S. S. Cheng, Y. Z. Lin and T. Rassias (2000), Exact regions of oscillation for a neutral difference equation with five parameters, J. Difference Eq. Appl., 6, 513-534.
, S. T. Liu and S. S. Cheng (2000), Asymptotic stability of analytic difference equations, Proc. Natl. Sci. Counc. ROC(A), 24(5), 390-393.
, J. G. Si, W. N. Zhang and S. S. Cheng (2000), Smooth solutions of an iterative functional equation, Functional Equations and Inequalities, (ed. Th. M. Rassias), Kluwer Academic Publishers, Dordrecht, Boston, London, 2000, pp.221-232.
, J. G. Si, X. P. Wang and S. S. Cheng (2000), Nondecreasing and convex solutions of an iterative functional differential equation, Aequationes Math., 60, 38-56.
, W. T. Li and S. S. Cheng (2000), Limiting behaviors of nonoscillatory solutions of a pair of coupled nonlinear differential equations, Proc. Edinburgh Math. Soc. 43, 457-473.
, J. G. Si, W. N. Zhang and S. S. Cheng (2000), Continuous solutions of an iterative functional inequality on compact interval, Nonlinear Studies, 7(1), 105-108.
, S. S. Cheng and T. T. Lu (2000), Optimal rearrangement problems related to discrete loaded strings, J. Difference Eq. Appl., 6, 775-777.
, W. T. Li and S. S. Cheng (2000), Characterizing conditions for the existence of nonoscillatory solutions of a discrete Emdem-Fowler equation with summable coefficients, Dynamic Sys. Appl., 9(3), 457-461.
, W. R. Li and S. S. Cheng (2000), Discrete Ou-Iang type inequalities, Tamkang J. Math., 31(4), 305-309.
, S. S. Cheng (2000), Symbolic calculi for sequences, Differential equations and computational simulations (Chengdu, 1999), 42--49, World Sci. Publishing, River Edge, NJ, 2000.
, S. S. Cheng, T. T. Lu, K. Y. Su and Y. H. Ko (2000), Optimal mean displacements of a forced string, Struct. Multidisc. Optim., 20, 317-322.
, M. Gil’ and S. S. Cheng (2000), Periodic solutions of a perturbed difference equation, Appl. Anal., 76, 241-248.
, G. Zhang and S. S. Cheng (2000), Positive periodic solutions of a discrete population model, Functional Differential Eqns., 7(3-4), 223-230.
, S. T. Liu, Y. Q. Liu, X. P. Guan, J. Yang and S. S. Cheng, Existence of monotone positive solution of neutral partial difference equation, J. Math. Anal. Appl., 247(2)(2000), 384-396.
, H. L. Zhao, G. Zhang and S. S. Cheng (2005), Exact traveling waves for discrete conservation laws, Portugaliae Mathematica, 62, 89-108.
, Q. G. Yang and S. S. Cheng (2005), Kamenev type oscillation criteria for second order matrix differential systems with damping, Ann. Polonici Math., 85(2), 145-152.
, X. H. Tang and S. S. Cheng (2005), Delay dependent stability criterion for time discrete linear systems, Gladsnik Math., 40, 121-132.
, S. S. Cheng (2005), Smooth solutions of iterative functional differential equations, 2004-Dynamical Systems and Applications, GBS Publishers and Distributions, pp. 228-252.
, S. S. Cheng and Y. Z. Lin (2005), Exact regions of stability for an investment plan with three parameters, Appl. Math. E-Notes, 194-201.
, G. Q. Wang and S. S. Cheng (2005), Existence of periodic solutions for a neutral differential equation with piecewise constant argument, Funk. Ekvac., 48, 299-311
, G. Zhang and S. S. Cheng (2005), On two second order half-linear difference equations, Fasiculi Math, 35, 163-175.
, G. Q. Wang and S. S. Cheng (2005), The set of periodic solutions of a neutral differential equation with delay and piecewise constant argument, Portugaliae Mathematica, 62, 295-302
, W. R. Li, H. Z. Liu and S. S. Cheng (2005), Analytic solutions of an equation of invariant curves, Dynamics Cont. Discrete Impulsive Sys. Proceedings 3, 1014-1021, Impulsive Dynamical Systems & Appl., Watam Press, 2005.
, X. Y. Liao and S. S. Cheng (2005), Convergent and divergent solutions of a discrete nonautonomous Lotka-Volterra model, Tamkang J. Math., 36, 337-344.
, J. W. Li and S. S. Cheng (2005), Periodic solutions of a second order forced sublinear differential equation with delay, Appl. Math. Lett., Volume: 18(12), 1373-1380.
, Z. Q. Zhu and S. S. Cheng (2005), Frequent oscillation in a neutral difference equation, Southeast Asian Bull. Math., 29(3), 627-634.
, G. Q. Wang and S. S. Cheng (2005), Periodic solutions of higher order nonlinear difference equations via a continuation theorem, Georgian Math. J., 12 (3), 539-550.
, G. Zhang, S. G. Kang and S. S. Cheng (2005), Periodic solutions for a coupled pair of delay difference equations, Advances in Difference Eq., 3, 215-226.
, S. S. Cheng, S. Talwong and V. Laohakosol (2006), Exact solutions of iterative functional differential equations, Computing, 76, 67-76.
, S. S. Cheng and Y. Z. Lin (2006), Exact stability regions for difference equations with three parameters, Appl. Math. E-Notes, 6, 49-57.
, G. Zhang and S. S. Cheng (2006), Existence of solutions for a nonlinear system with a parameter, J. Math. Anal. Appl., 314(1), 311-319.
, G. Q. Wang and S. S. Cheng (2006), Existence of periodic solutions for second order Rayleigh equations with piecewise constant argument, Turkish J. Math., 30, 57-74.
, C. J. Guo, G. Q. Wang and S. S. Cheng (2006), Periodic solutions for a neutral functional differential equation with multiple lags, Arch. Math. (Brno), 42(2006), 1-10.
, Z. Q. Zhu, M. Z. Tang and S. S. Cheng (2006), Oscillation and comparison theorems for nonlinear second order differential equations, Intern. J. Pure Appl. Math., 2(27), 151-162
, G. Q. Wang and S. S. Cheng (2006), Nonnegative periodic solutions for an integral equation modeling infectious disease with latency periods, Intern. Math. Forum, 1(9), 421-427.
, J. W. Li and S. S. Cheng (2006), Globally attractive periodic solution of a perturbed functional differential equation, J. Comput. Math. Appl., 193, 652-657.
, Z. Q. Zhu and S. S. Cheng (2006), Frequently oscillatory solutions for multi-level partial difference equations, International Math. Forum, 1(31), 1497-1509.
, S. G. Kang and S. S. Cheng (2006), Positive periodic solutions of superlinear systems of integral equations depending on parameters, Topological Methods in Nonlinear Anal., 27, 387-398
, G. Q. Wang and S. S. Cheng (2006), Steady state solutions of a toroidal neural network via a mountain pass theorem, Ann. Diff. Eq., 22(3), 360-363.
, S. S. Cheng and S. S. Chiou (2006), Exact stability regions for quartic polynomials, Bull. Brazilean Math. Soc., 37(2), 1-18.
, S. H. Saker and S. S. Cheng (2004), Oscillation criteria for difference equations with damping terms, Appl. Math. Comput., 148(2), 421-442
, S. G. Zhang and S. S. Cheng (2004), Grobner basis for an ideal of a polynomial ring over an algebraic extension over a field and its applications, Appl. Math. Comput., 153(1), 27-68.
, S. Talwong, V. Laohakosol and S. S. Cheng (2004), Power function solutions of iterative functional differential equations, Appl. Math. E-Notes, 4, 160-163.
, X. H. Tang and S. S. Cheng (2004), Positive solutions of a neutral difference equation with positive and negative coefficients, Georgian. Math. J., 11(1), 177-185.
, W. C. Yueh, S. S. Cheng and J. S. Chen (2004), Distribution of quadruples according to their convergence times in the Four Number Game, Southeast Asian Bull. Math., 28, 369-405.
, S. S. Cheng, C. W. Chen and T. Y. Wu (2004), Linear time discrete periodic diffusion networks, Fields Institute Comm., 42, 131-151
, W. R. Li and S. S. Cheng (2004), Analytic solutions of an iterative functional equation, Aequationes Math., 68, 21-27.
, G. Q. Wang and S. S. Cheng (2004), Oscillation of second order differential equation with piecewise constant argument, CUBO J., 6(3), 55-63.
, Z. Q. Zhu and S. S. Cheng (2004), Asymptotically power solutions of higher order neutral functional differential equations, Tamkang J. Math., 35, 383-389.
, X. L. Liu, G. Zhang and S. S. Cheng (2004), Existence of triple periodic solutions of a functional differential equation depending on a parameter, Abstract Anal. Appl., 10, 897-905
, S. S. Cheng, C. J. Tian and M. Gil’, Synchronization in a discrete circular network, Proceedings of the Sixth International Conference on Difference Equations, 61-73, CRC, Boca Raton, FL, 2004.
, S. H. Saker and S. S. Cheng (2004), Kamenev type oscillation criteria for nonlinear difference equations, Czech. Math. J., 54(129), 955-967.
, J. P. Sun, W. T. Li and S. S. Cheng (2004), Three positive solutions to second order Neumann BVP, Appl. Math. Lett., 17(9), 1079-1084.
, G. Zhang and S. S. Cheng (2004), Positive periodic solutions of coupled delay differential systems depending on two parameters, Taiwanese J. Math., 8, 639-652
, W. T. Li and S. S. Cheng (2004), Asymptotic properties of the positive equilibrium of a discrete survival model, Appl. Math. Comput., 157(1), 29-38.
, G. Q. Wang and S. S. Cheng (2004), Periodic solutions of a neutral difference system, Boletim da Sociedade Paranaense de Matematica, 22(2), 117-126.
, G. Q. Wang and S. S. Cheng (2004), Periodic solutions for nonlinear difference equations via a continuation theorem, Advances in Diff. Eq., 311-320.
, & S. S. Cheng and Y. Z. Lin (2006), Exact stability regions for difference equations with three parameters, Appl. Math. E-Notes, 6, 49-57.
, & G. Zhang and S. S. Cheng (2006), Existence of solutions for a nonlinear system with a parameter, J. Math. Anal. Appl., 314(1), 311-319.
, & G. Q. Wang and S. S. Cheng (2006), Existence of periodic solutions for second order Rayleigh equations with piecewise constant argument, Turkish J. Math., 30, 57-74.
, & C. J. Guo, G. Q. Wang and S. S. Cheng (2006), Periodic solutions for a neutral functional differential equation with multiple lags, Arch. Math. (Brno), 42(2006), 1-10.
, & Z. Q. Zhu, M. Z. Tang and S. S. Cheng (2006), Oscillation and comparison theorems for nonlinear second order differential equations, Intern. J. Pure Appl. Math., 2(27), 151-162.
, & G. Q. Wang and S. S. Cheng (2006), Nonnegative periodic solutions for an integral equation modeling infectious disease with latency periods, Intern. Math. Forum, 1(9), 421-427.
, & J. W. Li and S. S. Cheng (2006), Globally attractive periodic solution of a perturbed functional differential equation, J. Comput. Math. Appl., 193, 652-657.
, & Z. Q. Zhu and S. S. Cheng (2006), Frequently oscillatory solutions for multi-level partial difference equations, International Math. Forum, 1(31), 1497-1509.
, & S. G. Kang and S. S. Cheng (2006), Positive periodic solutions of superlinear systems of integral equations depending on parameters, Topological Methods in Nonlinear Anal., 27, 387-398.
, & G. Q. Wang and S. S. Cheng (2006), Steady state solutions of a toroidal neural network via a mountain pass theorem, Ann. Diff. Eq., 22(3), 360-363.
, & D. Behloul and S. S. Cheng (2006), Computation of all polynomial solutions of a class of nonlinear differential equations, Computing, 77(2), 163-177.
, & Z. Q. Zhu, G. Q. Wang and S. S. Cheng (2006), A classification scheme for nonoscillatory solutions of a higher order neutral difference equation, Advances Diff. Eq., Article 47654, 1-19. (SCI )
, & W. C. Yueh and S. S. Cheng (2006), Synchronization in an artificial neural network, Chaos, Solitons & Fractals, 30, 734-747.
, & G. Q. Wang and S. S. Cheng (2006), Critical points of a real functional arising from periodic difference boundary value problems, J. Math. Anal. Approx. Theory, 1(1), 10-16
, & Z. Q. Zhu and S. S. Cheng (2006), Unsaturated solutions of partial difference equations with forcing terms, Central European J. Math., 4(4), 656-668.
, & W. C. Yueh and S. S. Cheng (2006), Explicit eigenvalues and inverses of several Toeplitz matrices, ANZIAM, 48, 73-97.
, & C. J. Tian and S. S. Cheng (2006), Frequent convergence and applications, Dynamics Cont. Discrete Impulsive Sys. Series A, 13, 653-668.
, & S. S. Cheng and Y. Z. Lin (2006), The exact region of oscillation for first order neutral differential equation with delays, Quarterly Appl. Math., 64(3)(2006), 433-445.
, & W. T. Li, C. Y. Huang and S. S. Cheng (2006), Existence criteria and classification schemes for positive solutions of second order nonlinear difference systems, Discrete Dynamics in Nature and Society, Article ID 58532.
, & G. Q. Wang and S. S. Cheng (2006), Asymptotic Stability of a neutral integro-differential equation, Opuscula Math., 26(3), 505-517.
, & G. Q. Wang and S. S. Cheng (2006), Periodic solutions of nonautonomous delay Rayleigh equations, Nonlinear Funct. Anal. Appl., 11(3), 407-419.
, & Y. H. Xia, J. D. Cao and S. S. Cheng (2007), Multiple periodic solutions of a delayed stage-structured predator prey model with nonmonotone functional responses, Appl. Math. Modelling, 31, 1947-1959.
, & G. Q. Wang and S. S. Cheng (2007), Even periodic solutions of higher order Duffing differential equations, Czech. Math. J., 57(132), 331-343.
, & L. J. Pan, G. Q. Wang and S. S. Cheng (2007), Oscillations of even order nonlinear differential equations with impulses, Funkcialaj Ekvacioj, 50, 117-131.
, & H. W. Wu, S. S. Cheng and Q. R. Wang (2007), Distribution of zeros of& functional differential equations, Appl. Math. Comp., 193(1), 154-161.
, & Y. H. Xia, J. D. Cao and S. S. Cheng (2007), Global exponential stability of delayed cellular neural networks with impulses, Neurocomputing, 70, 2495-2501.
, & L. Zhang, H. F. Huo, L. M. Miao, S. S. Cheng (2007), Global attraction in a rational recursion relation, Appl. Math. E-Notes, 7, 154-158.
, & W. X. Wang, X. L. Liu and S. S. Cheng (2007), Fixed points for mixed monotone operators and applications, Nonlinear Studies, 14(2), 189-204.
, & S. S. Cheng and S. S. Chiou (2007), Exact stability regions for quartic polynomials, Bull. Brazilean Math. Soc., 38(1), 21-38.
, & C. J. Tian and S. S. Cheng (2007), Iterative oscillation theorems for delay difference equations, Southeast Asian Bull. Math., (1)31, 119-130.
, & Q. G. Yang and S. S. Cheng (2007), Oscillation theorems for certain even order neutral differential equations, Arch. Math. (Brno), 43, 105-122.
, & M. Gil’ and S. S. Cheng (2007), Solution estimates for semilinear difference-delay & equations with continuous time, Discrete Dynamics in Nature and Society, Article ID 82027, doi:10.1155/2007/82027
, & G. Q. Wang, S. S. Cheng, Y. Hamaya, Global attractivity for a non-autonomous neutral difference equation. Int. J. Math. Comput. Sci., 2(1)(2007), 33-40.
, & Z. W. Zheng and S. S. Cheng (2007), Oscillation criteria for nonlinear differential equations with oscillatory forcing term, Applied Math. E-Notes, 7, 247-256.
, & G. Q. Wang and S. S. Cheng (2007), Notes on periodic solutions of discrete steady state systems, Portugaliae Math., 64(1), 3-10.
, & J. W. Li and S. S. Cheng (2007), A priori bounds for periodic solutions of neutral differential equations with delay, Tamkang J. Math., 38(3), 239-246.
, & J. Yang, Y. J. Zhang and S. S. Cheng (2007), Frequent oscillation in a nonlinear partial difference equation, Central European Math. J., 5(3), 607-618.
, & G. Zhang, D. M. Jiang and S. S. Cheng (2007), 3-Periodic Traveling Wave Solutions for a Dynamical Coupled Map Lattice, Nonlinear Dynamics, 50, 235-247.
, & J. W. Li, S. S. Cheng and Z. Y. Jiang (2007), A necessary and sufficient condition for the existence of positive periodic solutions of a Nicholson’s blowflies model, Boletin de la Sociedad Matematica Mexicana, 13(3), 103-110.
, & Y. H. Xia, J. D. Cao and S. S. Cheng (2007), Periodic solutions for a Lotka-Volterra mutualism system with several delays, Applied Math. Modelling, 31, 1960-1969.
, & Z. Q. Zhu and S. S. Cheng (2008), Stability analysis for multistep computational schemes, Computer Math. Applic., 55, 2753-2761.
, & V. Ungureanu& and S. S. Cheng (2008), Mean stability of a stochastic difference equation, Ann. Polonici Math., 93(1), 33-52.
, & S. S. Cheng and R. Medina (2008), Artificial neural networks that admit synchronization, Indian. J. Math., 50(2), 309-316.
, & Z. Q. Zhu and S. S. Cheng (2008), Frequently stable difference systems, International Journal of Modern Mathematics, 3(2), 153-166.
, & Y. R. Yang and S. S. Cheng (2008), Positive solutions of a Lidstone boundary value problem with variable coefficient function, (Korean) J. Appl. Math. Computing., 27(1-2), 411-419
, & Y. C. Yueh and S. S. Cheng (2008), Explicit eigenvalues and inverses of tridiagonal Toeplitz matrices with four perturbed corners, ANZIAM, 49, 361-387.
, & G. Zhang and S. S. Cheng (2008), Note on a compartmental system with lags (in Spanish), La Gaceta, 11(4), 687-692.
, & G. Q. Wang and S. S. Cheng (2008), Multiple steady state solutions of a circular neural network, Chaos, Solitons & Fractals, 37(4), 1228-1232.
, & C. M. Hou and S. S. Cheng (2008), Eventually periodic solutions for difference equations with periodic coefficients and nonlinear control functions, Discrete Dynamics in Nature and Society, Art. ID 179589, 21 pp.
, & Y. Y. Wang, S. S. Cheng and W. G. Ge (2008), Periodic solutions of generalized Lienard equations with a p-Laplacian like operator, Bull. Brazilian Math. Soc., 39(1), 21-43.
, & Y. H. Xia and S. S. Cheng (2008), Stability and existence of almost periodic solutions of difference equations with applications in population dynamics, J. Difference Eq. Appl., 14(1), 59-81.
, & G. Q. Wang and S. S. Cheng (2008), Elementary variational approach to zero free solutions of a nonlinear eigenvalue problem, Nonlinear Analysis, 69, 3030-3041.
, & G. Q. Wang and S. S. Cheng (2008), A remark on multiple solutions for a nonlinear eigenvalue problem, Port. Math., 65(4),& 497-507.
, & S. S. Cheng and Y. F. Wu (2009), Synchronization of strongly coupled neural networks, Appl. Math. E-Notes, 9, 109-145.
, & S. S. Cheng, J. S. Chen and W. C. Yueh (2009), Cycles of a discrete time bipolar artificial neural network, Chaos, Fractals and Solitons, 40(3), 1319-1332.
, & G. Q. Wang and S. S. Cheng (2009), Fixed point theorems arising from seeking steady states of neural networks, Applied Math. Modelling, 33(1), 499-506.
, & Y. Y. Wang, W. G. Ge and S. S. Cheng (2009), Positive solutions for a multi-point eigenvalue problem involving the one dimensional p-Laplacian, Electro. J. Qualitative Theory Diff. Eq., 40, 1-13.
, & C. M. Hou and S. S. Cheng (2009), Asymptotic dichotomy in a class of fourth order nonlinear delay differential equations with damping, Abstract and Applied Anal., Article ID 484158, 7 pages. doi:10.1155/2009/484158.
, & C. J. Tian, S. S. Cheng and M. Gurdal (2009), Necessary and sufficient conditions for frequent Cauchy sequences, Asian European J. Math., 2(2), 295-305.
, & W. R. Li and S. S. Cheng (2009), A Picard theorem for iterative differential equations, Demonstratio Math., XLII(2), 2009.
, & J. J. Wen, S. S. Cheng and C. B. Gao (2009), Optimal sublinear inequalities involving geometric and power means, Math. Bohemica, 134(2), 133-149
, & S. S. Cheng and J. J. Lin (2009), Periodic traveling waves in an artificial neural network, J. Difference Eq. Appl., 15(10)2009, 963-999.
, & S. G. Kang, B. Shi and S. S. Cheng (2009), Existence and uniqueness of positive periodic solutions for a class of integral equations, Ann. Polon. Math., 96(3), 227-238.
, & S. S. Cheng and S. Y. Huang (2009), Alternate derivations of the stability region of a difference equation with two delays, Appl. Math. E-Notes, 9, 225-253.
, & G. Q. Wang and S. S. Cheng (2009) Existence of periodic solutions for a second order nonlinear differential equation with piecewise constant argument, International J. Math. Math. Sci., Vol. 2009, Article ID 950797, 14 pages, doi:10.1155/2009/950797
, & D. Behloul and S. S. Cheng (2009), Polynomial solutions of a class of algebraic differential equations with quadratic nonlinearities, Southeast Asian Bull. Math., (2009) 33: 1029{1040.
, & G. Q. Wang and S. S. Cheng (2009), Periodic solutions of discrete Rayleigh equations with deviating arguments, Taiwanese J. Math., 13(6B), 2051-2067.
, & J. J. Lin and S. S. Cheng (2009), Doubly periodic traveling waves in a cellular neural network with linear reaction, Advances in Difference Eq., Article ID 243246, 29 pages, doi:10.1155/2009/243245.
, & G. Q. Wang and S. S. Cheng (2010) Positive fixed point theorems arising from seeking steady states of neural networks, Math. Bohemica, 135(1), 99-112.
, S. G. Kang and S. S. Cheng (2010), Existence of Positive, Negative and Sign Changing Periodic Solutions for a Class of Integral Equations, J. Comput. Appl. Math., 234, 518-525.
, J. W. Li and S. S. Cheng (2010), Remarks on a set of sufficient conditions for global attractivity in a model of hematopoiesis, Computers and Mathematics with Applications, 59, 2751-2755.
, & G. Q. Wang and S. S. Cheng (2010), Bifurcation in a nonlinear steady state system, Opuscula Math., 30(3), 349-360.
, & K. W. Wen, G. Q. Wang and S. S. Cheng (2010), Oscillation of a higher order differential equation with impulses, Demonstratio Math., XLIII(3), 575-603.
, & K. W. Wen, G. Q. Wang and S. S. Cheng (2010), Asymptotic dichotomy in a class of third order nonlinear differential equations with impulses, Volume 2010, Abstract Anal. Appl.,& Article ID 562634, 20 pages doi:10.1155/2010/562634
, & Q. Ge, C. M. Hou and S. S. Cheng (2010), Complete asymptotic analysis of a nonlinear recurrence relation with threshold control, Advances in Difference Eq., Advances in Difference Equations, Volume 2010, Article ID 143849, 19 pages, doi:10.1155/2010/143849
年度論文名稱
, S. S. Cheng (1980), Maximum principles for solutions of second order partial difference inequalities, Symposium on Functional Analysis and Applications (held at the Tsing Hua University, Hsinchu, Taiwan, Republic of China, April, 1980), 395-401.
, S. S. Cheng (1988), Regular domains of tridiagonal matrices, International Series of Numerical Math., 86, 105-113.
, S. S. Cheng (1991), Inverses of matrices arising from difference operators: synopsis, Linear Algebra and its Appl., 162-164, pp.744-746.
, S. S. Cheng (1994), Oscillation theroems for linear fourth order differential and difference equations, Proceedings of the International Conference on Functional Differential Equations, Publishing House of Electronic Industry, China, 1994, pp. 37-46.
, S. S. Cheng and B. G. Zhang (1995), Nonexistence of positive non-decreasing solutions of a nonlinear difference equation, Proceedings of The First International Conference on Difference Equations, 1995.
, S. S. Cheng (1996), An underdeveloped research area: Qualitative theory of functional partial difference equations, Proceedings of the International Mathematics Conference '94 at Sun Yat-Sen University, 1996, pp. 65-75.
, 鄭穗生,林宜中,謝勝利 (1996),偏差分方程穩定性若干結果,中國五屆常微分方程穩定性理論與應用學術會議論文集,大連,1996, pp. 74-77.
, S. S. Cheng and B. G. Zhang (1997), Nonexistence of positive solutions of discrete elliptic equations: a synopsis, Proceedings of The Second International Conference on Difference Equations, Gordon and Breach Publ., Amsterdam, pp. 119-123.
, Y. Z. Lin and S. S. Cheng (1999), Explicit necessary and sufficient conditions for oscillations of two difference equations, New Developments in Difference Equations and Applications (Proceedings of the 3rd International Conference on Difference Equa
, S. S. Cheng (1998), Invitation to Difference Equations, Proceedings of the 29-th Annual Iranian Mathematical Conference, Tehran, to appear.
, X. P. Guan, Y. H. Yu, J. Yang and S. S. Cheng (1998), Positive solutions of a class of neutral delay difference equations, 微分方程理論與應用學術會議論文集, pp. 505-508.
, S. S. Cheng (1999), Stability of Partial Difference Equations, New Developments in Difference Equations and Applications (Proceedings of the 3rd International Conference on Difference Equations), Gordon and Breach Publishers, 93-135.
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