\documentclass{article}
\usepackage{amsmath,amssymb}
\setlength{\oddsidemargin}{0.67in}
\setlength{\evensidemargin}{0.55in}
\setlength{\textwidth}{5.2in}
\setlength{\topmargin}{-0.20in}
\begin{document}
\title{Simple Article For AMEN\thanks{%
Mathematics Subject Classifications: 35C20, 35D10.}}
\date{{\small 20 July 2000}}
\author{First Second Family\thanks{%
Department of Mathematics, Binzhou Normal College, Binzhou, Shandong 256604,
P. R. China}\ , Sui Sun Cheng\thanks{%
Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R.
O. China}\ , Tzon Tzer Lu\thanks{%
Department of Applied Mathematics, Sun Yat-sen Univeristy, Kaohsiung, Taiwan
80424, R. O. China}}
\maketitle
\begin{abstract}
Solutions of the form $x(z)=\lambda z^{\mu }$ are found for the iterative
functional differential equation $x^{(n)}(z)=\left( x\left( x\left(
...x\left( z\right) \right) \right) \right) ^{k}.$
\end{abstract}
\section{Introduction}
The basic idea is that a short note should be presented in a simple manner.
Therefore, use simple notations, symbols, etc. Displayed equation should be
labeled in the following format
\begin{equation}
x(z)=\lambda z^{\mu }, \label{1}
\end{equation}
\begin{equation}
x^{(n)}(z)=\left( x^{[m]}(z)\right) ^{k}. \label{2}
\end{equation}
Lemmas, Theorems, and Corollaries should be typed such as the following:
\smallskip
THEOREM 1. Let $\Omega $ be a domain of the complex plane $C$ which does not
include the negative real axis (nor the origin). Then there exist $m$
distinct (single valued and analytic) power functions of the form (\ref{1})
which are solutions of (\ref{2}).
\smallskip
Proofs should be typed as follows:
\smallskip
PROOF. We remark that each solution $x_{i}(z)=\lambda _{i}z^{\mu _{i}}$ has
a nontrivial fixed point $\alpha _{i}$. Indeed, from $\lambda _{i}\alpha
_{i}^{\mu _{i}}=\alpha _{i},$ we find
\[
\alpha _{i}=\lambda _{i}^{1/(1-\mu _{i})}=\left[ \mu _{i}(\mu _{i}-1)\cdot
\cdot \cdot (\mu _{i}-n+1)\right] ^{1/(k+n-1)}\neq 0,
\]
...
\smallskip
Other texts can be typed such as the following: As an example, consider the
equation
\[
x^{\prime }(z)=x(x(z)).
\]
From
\[
\mu ^{2}-\mu +1=0,
\]
we find roots $\mu _{\pm }=(1-\sqrt{3}i)/2.$ We find $\lambda _{-}=\mu
_{-}^{1/\mu _{-}}\approx 2.145-1.238i,$ $\lambda _{+}=\mu _{+}^{1/\mu
_{+}}\approx 2.145+1.238i.$ Since $\left| \mu _{\pm }\right| =1$ and $\mu
_{\pm }^{6}=1,$ they are roots of unity. This shows that the requirements in
the main Theorem in [1] does not hold. Therefore, we have found analytic
solutions which cannot be guaranteed by the main Theorem in [1]. \smallskip
Figures should be prepared in the EPS format and placed at the center by
commands such as: centereps\{width\}\{height\}\{file\}.
\smallskip
References should be typed as follows:
\begin{thebibliography}{9}
\bibitem{r1} J. G. Si, W. R. Li and S. S. Cheng, Analytic solutions of an
iterative functional differential equation, Computers Math. Applic.,
33(6)(1997), 47--51.
\bibitem{r2} E. Eder, The functional differential equation $x^{\prime
}(t)=x(x(t)),$ J. Diff. Eq., 54(1984), 390--400.
\bibitem{r3} L. W. Griffiths, Introduction to the Theory of Equations, 2$%
^{nd}$ ed., Wiley, New York, 1947.
\end{thebibliography}
\end{document}