非自治时滞微分系统的周期解(英文)  

Periodic Solutions for Non-autonomous Differential Delay Systems

作　　者：成荣[1] 

机构地区：[1]南京信息工程大学数理学院,江苏南京210044

出　　处：《应用数学》2009年第3期476-484,共9页Mathematica Applicata

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

摘　　要：本文将一类非自治时滞微分方程变换为等价的哈密顿系统.这样求解此时滞微分系统可以等价于求解相应的哈密顿系统.运用Floquet变换和辛变换方法,建立了此类微分系统多重周期解的存在性定理,此结果推广了先前文献中的一些结果.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 

分 类 号：O175.6[理学—数学]