%0 Journal Article
%T 关于Lyness型差分方程的<i>C</i><sup>1</sup>不变曲线<br>The <i>C</i><sup>1</sup> Invariant Curve of Lyness Type Difference Equations
%A 潘妙巧
%A 陈瑞琪
%A 莫宗赵
%A 潘富格
%A 李叶芷
%A 张颖
%J Pure Mathematics
%P 261-271
%@ 2160-7605
%D 2016
%I Hans Publishing
%R 10.12677/PM.2016.63040
%X <div style=\"text-align:justify;\">
	<span style=\"line-height:1.5;font-size:14px;\">本文利用Schauder不动点定理、Banach不动点定理及紧凸子集的相关性质研究了关于Lyness型差分方程的<i>C</i><sup>1</sup>不变曲线的存在性、唯一性、稳定性及保向性。 <br />
In this paper, by using the Schauder fixed point theorem and Banach fixed point theorem, also the related properties of the compact convex subset, the existence, uniqueness; stability and retention property of the <i>C</i><sup>1</sup> invariant curves of Lyness type difference equations are researched. </span><span style=\"line-height:1.5;font-size:14px;\"></span> 
</div>
%K Lyness型差分方程，不变曲线，存在性，唯一性，稳定性，保向性<br>Lyness Type Difference Equations
%K Invariant Curves
%K Existence
%K Uniqueness
%K Stability
%K Retention Property
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=17689