理论数学  >> Vol. 6 No. 3 (May 2016)

关于Lyness型差分方程的C1不变曲线
The C1 Invariant Curve of Lyness Type Difference Equations

DOI: 10.12677/PM.2016.63040, PDF, HTML, XML, 下载: 1,308  浏览: 1,868  科研立项经费支持

作者: 潘妙巧*, 陈瑞琪, 莫宗赵, 潘富格, 李叶芷, 张 颖:岭南师范学院数学与计算科学学院,广东 湛江

关键词: Lyness型差分方程不变曲线存在性唯一性稳定性保向性Lyness Type Difference Equations Invariant Curves Existence Uniqueness Stability Retention Property

摘要: 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C1不变曲线的存在性、唯一性、稳定性及保向性。
Abstract: 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 C1 invariant curves of Lyness type difference equations are researched.

文章引用: 潘妙巧, 陈瑞琪, 莫宗赵, 潘富格, 李叶芷, 张颖. 关于Lyness型差分方程的C1不变曲线[J]. 理论数学, 2016, 6(3): 261-271. http://dx.doi.org/10.12677/PM.2016.63040