| 扭转映射与微分方程的周期解及概周期解 |
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| 引用本文： | 曹进德 万世栋. 扭转映射与微分方程的周期解及概周期解[J]. 云南大学学报(自然科学版), 1991, 13(1): 19-26 |
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| 作者姓名： | 曹进德 万世栋 |
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| 作者单位： | 云南大学函授夜大部(曹进德)，云南大学函授夜大部(万世栋) |
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| 基金项目： | 云南省教委基础理论研究基金 |
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| 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。
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| 关 键 词： | 扭转映射 微分方程 Poincare映射 周期解 概周期序列 概周期解 |
Periodic and Amost Periodic Solutions of Some Differential Equtions and Twist Map |
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| Cao Jinde Wan Shidong. Periodic and Amost Periodic Solutions of Some Differential Equtions and Twist Map[J]. Journal of Yunnan University(Natural Sciences), 1991, 13(1): 19-26 |
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| Authors: | Cao Jinde Wan Shidong |
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| Abstract: | 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. |
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| Keywords: | twist map differential equtions Poincare map periodic solution al-most periodic sequence almost periodic solution |
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