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退休教師

基本資料表

王信華 Shin-Hwa Wang
03-571-5131 ext. 31042
shwang@math.nthu.edu.tw
03-572-3888
https://www.math.nthu.edu.tw/~shwang
王信華 Shin-Hwa Wang

教師

微分方程
綜三館619室

MathSciNet , Math Genealogy

學校名稱國別系所學位起迄年月
紐約州立大學水牛城分校美國數學系博士1986-07~1988-08
服務機關名稱單位職務期間
國立清華大學數學系教授1994-08~
國立清華大學數學系副教授1988-09~1994-01
美國紐約州立大學水牛城分校數學系教學助教1984-09~1988-06
中央研究院數學研究所研究助理1983-07~1984-06
論文名稱
Po, Exact multiplicity and bifurcation diagrams of positive solutions of a one-dimensional prescribed mean curvature problem, Journal of Differential Equations, 257 (2014), 3272-3299. (with Kuo-Chih Hung, Yan-Hsiou Cheng and Chia-Hao Chuang) (SCI), Ac, 8, 3342~3348
S-shaped bifurcation curves for a combustion problem with general Arrhenius reaction-rate laws, Communications on Pure and Applied Analysis, 13 (2014), 2589-2608. (with Chih-Yuan Chen and Kuo-Chih Hung) (SCI)
On S-shaped bifurcation curves for a two-point boundary value problem arising in a theory of thermal explosion, Discrete and Continuous Dynamical Systems, 35 (2015), 4839-4858. (with Shao-Yuan Huang) (SCI)
Proof of a conjecture for the one-dimensional perturbed Gelfand problem from combustion theory, Archive for Rational Mechanics and Analysis, 222 (2016), 769-825. (with Shao-Yuan Huang) (SCI)
Classification and evolution of bifurcation curves for the one-dimensional perturbed Gelfand equation with mixed boundary conditions, Journal of Differential Equations, 260 (2016), 8358-8387. (with Yu-Hao Liang) (SCI)
On the classification and evolution of bifurcation curves for a one-dimensional prescribed mean curvature problem, Differential and Integral Equations, 29 (2016), 631-664. (with Yan-Hsiou Chen and Kuo-Chih Hung) (SCI)
A variational property on the evolutionary bifurcation curves for a positone problem with cubic nonlinearity, Taiwanese Journal of Mathematics, 23 (2016), 307-331. (with Shao-Yuan Huang) (SCI)
On the classification and evolution of bifurcation curves for a one-dimensional prescribed mean curvature problem with nonlinearity exp(((au)/(a+u))), Nonlinear Analysis, 146 (2016), 161-184. (with Yan-Hsiou Chen and Kuo-Chih Hung) (SCI)
A variational property on the evolutionary bifurcation curves for the one-dimensional perturbed Gelfand problem from combustion theory, Electronic Journal of Qualitative Theory of Differential Equations, 94 (2016), 1-21. (with Shao-Yuan Huang) (SCI)
A global bifurcation theorem for a positone multiparameter problem and its application, Discrete and Continuous Dynamical Systems, 37 (2017), 5127-5149. (with Kuo-Chih Hung and Shao-Yuan Huang) (SCI)
Classification and evolution of bifurcation curves for the one-dimensional perturbed Gelfand equation with mixed boundary conditions II, Electronic Journal of Differential Equations, 2017, No. 61, pp. 1-12. (with Yu-Hao Liang) (SCIE)
Classification and evolution of bifurcation curves for a one-dimensional Neumann-Robin problem and its applications, Electronic Journal of Qualitative Theory of Differential Equations, 85 (2018), 1-30. (with Chi-Chao Tsai and Shao-Yuan Huang) (SCI)
A global bifurcation theorem for a multiparameter positone problem and its application to the one-dimensional perturbed Gelfand problem, Electronic Journal of Qualitative Theory of Differential Equations, 99 (2019), 1-25. (with Shao-Yuan Huang and Kuo-Chih Hung) (SCI)
Classification and evolution of bifurcation curves for a Dirichlet-Neumann boundary value problem and its application, Taiwanese Journal of Mathematics, 23 (2019), 307-331. (with Da-Chang Kuo and Yu-Hao Liang) (SCI)
Structures and evolution of bifurcation diagrams for a one-dimensional diffusive generalized logistic problem with constant yield harvesting, Journal of Differential Equations, 269 (2020), 3456-3488. (with Kuo-Chih Hung and Yiu-Nam Suen) (SCI)
Classification and evolution of bifurcation curves for a one-dimensional Dirichlet-Neumann problem with a specific cubic nonlinearity, Discrete and Continuous Dynamical Systems, 40 (2020), 1075-1105. (with Yu-Hao Liang) (SCI)
Global bifurcation and exact multiplicity of positive solutions of a problem arising in porous-medium combustion, Communications on Pure and Applied Analysis, 20 (2021), 559-582. (with Kuo-Chih Hung) (SCI)
On positive solutions of some semilinear elliptic equations,& J. Austral. Math. Soc.& (Series A) 50 (1991), 343-355.& (with N. D. Kazarinoff)& (SCI)
Bifurcation and stability of positive solutions of a two-point boundary value problem,& J. Austral. Math. Soc.& (Series A) 52(1992),334-342.& (with N. D. Kazarinoff)& (SCI)
Bifurcation of steady-state solutions of a scalar reaction-diffusion equation in one space variable,& J. Austral. Math. Soc.& (Series A) 52 (1992), 343-355.& (with N. D. Kazarinoff)& (SCI)
Bifurcation of positive solutions of generalized nonlinear undamped pendulum problems,& Bull. Inst. Math. Acad. Sinica& 21 (1993), 211-227.
Remarks on the monotonicity and convexity of the time maps of some two-point boundary value problems,& Chinese J. Math.& 21 (1993), 259-269. & (SCI)
On the time map of a nonlinear two-point boundary value problem,& Differential and Integral Equations& 7 (1994), 49-55.
Positive solutions for a class of nonpositone problems with concave nonlinearities,& Proc. Roy. Soc. Edinburgh& 124A (1994), 507-515. (SCI)
On S-shaped bifurcation curves,& Nonlinear Analysis, Theory, Methods & Applications& 22 (1994), 1475-1485. (SCI)
Bifurcation of an equation from catalysis theory,& Nonlinear Analysis, Theory, Methods & Applications& 23 (1994), 1167-1187.& (with F.-P. Lee)& (SCI)
Bifurcation of an equation arising in porous medium combustion,& IMA J. Appl. Math.& 56 (1996), 219-234. (SCI)
Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws,& Proceedings of the Royal Society of London, Series A 454 (1998), 1031-1048. (SCI)
Existence and multiplicity of boundary blow-up nonnegative solutions to two-point boundary value problems, Nonlinear Analysis,& Theory, Methods & Applications& 42 (2000), 139-162. (SCI)
Existence and multiplicity of an equation from pool boiling on wires,& Quarterly of Applied Mathematics& 58 (2000), 331-354. (SCI)
An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problems,& Nonlinear Analysis, Theory, Methods & Applications& 44 (2001), 469-486& (with D.-M. Long) (SCI)
An explicit formula of the bifurcation curve for a boundary blow-up problem,& Dynamics of Continuous, Discrete and Impulsive Systems Ser. A Math. Anal.& 10 (2003), 431-446.& (with Y.-T. Liu and I-A. Cho)& (SCI)
Exact multiplicity results for a p-Laplacian problem with conacve-convex-concave nonlinearities,& Nonlinear Analysis, Theory, Methods & Applications& 53 (2003), 111-137.& (with I. Addou)& (SCI)
Exact multiplicity and ordering properties of positive solutions of a p-Laplacian Dirichlet problem and their applications,& Journal of Mathematical Analysis and Applications& 287 (2003), 380-39.& (with T.-S. Yeh)& (SCI)
On the exact structure of positive solutions of an Ambrosetti-Brezis-Cerami problem and its generalization in one space variable,& Differential and Integral Equations& 17 (2004), 17-44.& (with T.-S. Yeh)
A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities,& Journal of Mathematical Analysis and Applications& 291 (2004), 128-153.& (with T.-S. Yeh)& (SCI)
Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities,& Electronic Journal of Differential Equations& 2004 (2004), No. 72, 1-25.& (with I. Addou)
Shape and Structure of the Bifurcation Curve of a Boundary Blow-up Problem, accepted to appear in& Taiwanese Journal of Mathematics, 2005.& (with Y.-T. Liu)& (SCI)
Explicit necessary and sufficient conditions for the existence of a dead core solution of a p-Laplacian steady-state reaction-diffusion problem, Discrete and Continuous Dynamical Systems - Series A, Supplement Volume, 2005, 587--596. (with S.-Y. Lee and C.-P. Ye) (SCI)
The structure of the solution set of a generalized Ambrosetti-Brezis-Cerami problem in one space variable, Journal of Mathematical Analysis and Applications 313 (2006), 441--460. (with W.-Y. Hsia and T.-S. Yeh) (SCI)
A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem, Nonlinear Analysis, Theory, Methods & Applications 64 (2006), 2412--2432. (with T.-S. Yeh) (SCI)
On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem, Nonlinear Analysis, Theory, Methods & Applications 67 (2007), 1316--1328. (SCI)
A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem, Journal of Mathematical Analysis and Applications 330 (2007), 276--290. (with S.-Y. Lee, J.-Y. Liu, and C.-P. Ye) (SCI)
Exact structure of positive solutions for a p-Laplacian problem involving singular and superlinear nonlinearities, Rocky Mountain Journal of Mathematics 37 (2007), 689--708. (with T.-S. Yeh) (SCI)
Exact multiplicity of boundary blow-up solutions for a bistable problem, Computers and Mathematics with Applications 54 (2007), 1285-1292. (with J. Shi) (SCI)
Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable, Journal of Mathematical Analysis and Applications, 342 (2008), 1175-1191. (with Tzung-Shin Yeh) (SCI)
On the evolution and qualitative behaviors of bifurcation curves for a boundary value problem. II, Nonlinear Analysis, Theory, Methods & Applications. (2008) (with W.-C. Huang) (SCI)
Explicit necessary and sufficient conditions for the existence of nonnegative solutions of a p-Laplacian boundary blow-up problem, Taiwanese Journal of Mathematics, 13 (2009). (with P.-Y. Huang and M.-T. Shieh) (SCI)
A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application,Nonlinear Analysis& 71 (2009), 126-140. (with Tzung-Shin Yeh) (SCI)
A complete classification of bifurcation diagrams of classes of a multiparameter Dirichlet problem with concave-convex nonlinearities, Journal of Mathematical Analysis and Applications, 349 (2009), 113-134. (with Kuo-Chih Hung) (SCI)
A complete classification of bifurcation diagrams of classes of multiparameter p-Laplacian boundary value problems, Journal of Differential Equations, 246 (2009), 1568-1599. (with Kuo-Chih Hung) (SCI)
Classification of bifurcation diagrams of a p-Laplacian Dirichlet problem with examples,& Journal of Mathematical Analysis and Applications, 369 (2010), 188-204. (with Tzung-Shin Yeh) (SCI)
Bifurcation diagrams of a p-Laplacian Dirichlet problem with Allee effect and an application to a diffusive logistic equation with predation,& Journal of Mathematical Analysis and Applications, 375 (2011), 294-309. (with Kuo-Chih Hung) (SCI)
Classification and evolution of bifurcation curves for a multiparameter p-Laplacian Dirichlet problem, Nonlinear Analysis, 74 (2011), 3589-3598. (with Kuo-Chih Hung) (SCI)
A theorem on S-shaped bifurcation curve for a positone problem with convex-concave nonlinearity and its applications to the perturbed Gelfand problem,& Journal of Differential Equations, 251 (2011), 223-237. (with Kuo-Chih Hung) (SCI)
A correction for a paper by J. Smoller and A. Wasserman, J. Differential Equations& 77 (1989), 199-202. (SCI)
A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem. II. Generalized nonlinearities, Taiwanese Journal of Mathematics, 16 (2012), 1265-1291. (with Feng-Lin Wang) (SCI)
On the existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem,& Journal of Mathematical Analysis and Applications, 392 (2012), 40-54. (K.-C. Hung and C.-H. Yu) (SCI)
Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity, Journal of Differential Equations, 252 (2012), 6250-6274. (with C.-C. Tzeng and K.-C. Hung) (SCI)
Classification of bifurcation diagrams of a p-Laplacian nonpositone problem,& Communications on Pure and Applied Analysis, & 12 (2013), 2297-2318. (with P.-C. Huang and T.-S. Yeh) (SCI)
Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications, Transactions of the American Mathematical Society, 365 (2013), 1933-1956. (with Kuo-Chih Hung) (SCI)
S-shaped and broken S-shaped bifurcation diagrams for a multiparameter spruce budworm population problem in one space dimension, Journal of Differential Equations, 255 (2013), 812-839. (with Tzung-Shin Yeh) (SCI)
Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS, Nonlinear Analysis, 89 (2013), 284-298. (with Y.-H. Cheng and K.-C. Hung) (SCI)
論文名稱
Republic of China-South Africa Symposium on Differential Equations, Academia Sinica, Taipei, Aug. 6-8, 1990 (Invited talk).
Sino-Japanese Joint Seminar on Nonlinear Partial Differential Equations-with Emphasis on Reaction-Diffusion Aspects, Academia Sinica, Taipei, Dec. 3-7, 1990 (Invited session chairman).
The Second International Conference on Industrial and Applied Mathematics, Washington, D. C., U.S.A., July 8-12, 1991 (Oral presentation).
Deuxième Rencontre Franco-Taiwanaise D′E.D.P. Non Linéaires et Applications, École Normale Supérieure, Paris, France, Oct. 19-23, 1992 (Invited talk).
Sino-Australian Joint Workshop on Nonlinear Analysis, National Chiao-Tung University, Hsinchu, Taiwan, April 12-15, 1993 (Oral presentation).
Sino-Japanese Joint Seminar on Nonlinear Partial Differential Equations and Applications, Kyoto University, Kyoto, Japan, Jan. 10-14, 1994 (Invited talk).
International Mathematics Conference \'94, National Sun Yat-sen University, Kaohsiung, Taiwan, Dec. 2-5, 1994 (Oral presentation).
The Second World Congress of Nonlinear Analysts, Athens, Greece, July 10-17, 1996 (Oral presentation).
Joint Australian-Taiwanese Workshop on Analysis and Applications, Brisbane, Australia, March 31-April 3, 1997 (Oral presentation).
The Second Taiwan-Philippine Symposium in Analysis, Hsinchu, Taiwan, June 2-5, 1997 (Invited talk).
The International Workshop on Differential Equations and Scientific Computations, National Taiwan Normal University, Taipei, Taiwan, Jan. 15-18, 1998 (Invited talk).
The Second Korean-Taiwan Joint Workshop on Partial Differential Equations, Seoul National University, Seoul, Korea, Jan. 28-30, 1999 (Invited talk).
The Fourth International Conference on Industrial and Applied Mathematics, Edinburgh, Scotland, United Kingdoms, July 5-9, 1999 (Oral presentation).
1999 International Conference on Nonlinear Analysis, Academia Sinica, Taipei, Oct. 16-20, 1999 (Oral presentation).
The Third Sino-Philippine Symposium in Analysis, University of the Philippines-Diliman, Manila, March 21-25, 2000 (Invited talk) (Oral presentation).
International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Ontario, Canada, July 27-31, 2001 (Oral presentation).
The 2001 International Conference on Mathematics, National Chung-Hsing University, Taichung, Taiwan, Nov. 23-25, 2001 (Oral presentation).
ICM2002, Satellite Conference on Nonlinear Functional Analysis, Taiyuan, Sanxi, China, Aug. 14-18, 2002 (Invited talk, 35 min.).
The International Congress of Mathematics 2002, Beijing, China, Aug. 20-28, 2002 (Oral presentation).
5th Taiwanese-Philipine Symposium in Mathematics, Exact multiplicity and ordering of positive solutions of a p-Laplacian Dirichlet problem and their applications, Silang Cavite, Philippines, Oct. 22-26, 2003 (Invited talk, 25 min.).
AIMS\' fifth international conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, California, U.S.A., June 16 -19, 2004 (Invited talk, 20 min.).
畢業年度姓名碩/博士班備註
2019孫耀楠碩士班Structures and evolution of bifurcation curves for a one-dimensional semipositone Dirichlet problem
2016郭達昌碩士班Classification and evolution of bifurcation curves for a Dirichlet-Neumann boundary value problem and its application
2012陳志淵碩士班S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws
2011曾至均碩士班Global Bifurcation and Exact Multiplicity of Positive Solutions for a Positone Problem with Cubic Nonlinearity
2011余建賢碩士班Existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem
2011莊家豪碩士班On exact multiplicity and bifurcation diagrams of positive solutions of a one-dimensional prescribed mean curvature problem
2009洪國智博士班Global bifurcation and exact multiplicity of positive solutions for some classes of p-Laplacian multiparameter problems
2007黃韋強碩士班On the Evolution and Qualitative Behaviors of Bifurcation Curves for a Boundary Value Problem. II
2006王鳳麟碩士班A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem. II. Generalized nonlinearities
2006劉仲益碩士班A complete claasification of bifurcation diagrams of a p-Laplacian Dirichlet problem
2004葉秋萍碩士班On necessary and sufficient conditions for the existence of dead core solutions of a two point p-laplacian boundary value problem
2004夏文茵碩士班The structure of the solution set of a generalized ambrosetti-brezis-cerami problem in one space variable
2003葉宗鑫博士班Structure of the solution set of a generalized Ambrosetti- Brezis-Cerami problem in one space variable (現任：國立臺南大學應用數學系專任副教授)
2003李信儀碩士班On necessary and sufficient conditions for the existence of dead core solutions of a two point boundary value problem
2002余彩璃碩士班Asymptotic behaviors of the bifurcation curve for a p-laplacian boundary blow-up problem
2002黃佩瑜碩士班On necessary and sufficient conditions for the existence of solutions of a p-laplacian boundary blow-up problem
2001卓益安碩士班An explicit formula and asymptotic behaviors of bifurcation curve of a boundary blow-up problem
2000謝明廷碩士班Necessary and sufficient conditions for the existence of solutions of a boundary blow-up problem
1998劉月增碩士班On the bifurcation curve of boundary blow-up solutions of a boundary value problems
1993厲復平碩士班Bifurcation of an equation from catalysis theory
1992謝坤家碩士班Bifurcation of positive solutions of some classes of nonlinear two-point boundary value problems
1992龍道民碩士班Bifurcation of positive solutions of a generalized Gelfand problem