摘要
本文首先讨论环域扭转映射的两种不同定义之间的关系,接着应用Poincare-Birkhoff的扭转映射不动点定理及Mather关于单调扭转映射存在拟周期解的定理,并通过微分系统的Poincare映射研究一类微分方程的周期解与概周期解的存在性。
In this paper, the ralation between two different twist map definitions is discussed . Then using Mather twist map theorem and Poincare-Birkhoff fixed points theorem, the existence of periodic solutions and almost periodic solutions of the differential equtions is studied throuth Poincare map of the differential systems.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
1991年第1期19-26,共8页
Journal of Yunnan University(Natural Sciences Edition)
基金
云南省教委基础理论研究基金
关键词
微分方程
扭转映射
周期解
存在性
twist map, differential equtions, Poincare map, periodic solution, al-most periodic sequence, almost periodic solution
