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非自治时滞微分系统的周期解

成荣

应用数学2009,Vol.22Issue(3):476-484,9.
应用数学2009,Vol.22Issue(3):476-484,9.

非自治时滞微分系统的周期解

Periodic Solutions for Non-autonomous Differential Delay Systems

成荣1

作者信息

  • 1. 南京信息工程大学数理学院,江苏,南京,210044
  • 折叠

摘要

Abstract

In this paper,we translate a class of non-autonomous differential delay equation into Hamiltonian system.Thus finding solutions of the delay system is equivalent to seeking solutions of the Hamiltonian system.By using Floquet theory and symplectic transformation,we establish the existence of multiple periodic solutions for the non-autonomous delay equation.Our result generalizes some similar results in previous papers.

关键词

哈密顿系统/Floquet变换/辛变换/周期解/时滞方程

Key words

Hamiltonian system/Floquet theory/Symplectic transformation/Periodic solution/Delay equation

分类

数理科学

引用本文复制引用

成荣..非自治时滞微分系统的周期解[J].应用数学,2009,22(3):476-484,9.

基金项目

Supported by the Research Foundation of Nanjing University of Information Science and Technology(20070049) (20070049)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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