关于Lyness型差分方程的C¹不变曲线

The C¹ Invariant Curve of Lyness Type Difference Equations

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.