Multiple periodic solutions for non-canonical Hamiltonian systems with application to differential delay equations

被引：0

作者：

CHENG Rong ^{[1
]}

XU JunXiang ^{[2
]}

ZHANG FuBao ^{[2
]}

机构：

[1] School of Mathematics & Statistics, Nanjing University of Information Science & Technology

[2] Department of Mathematics, Southeast University

来源：

Science China(Mathematics) | 2014年 / 57卷 / 08期

关键词：

periodic solution; critical point; Hamiltonian system; Maslov index; differential delay equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We first establish Maslov index for non-canonical Hamiltonian system by using symplectic transformation for Hamiltonian system.Then the existence of multiple periodic solutions for the non-canonical Hamiltonian system is obtained by applying the Maslov index and Morse theory.As an application of the results,we study a class of non-autonomous differential delay equation which can be changed to non-canonical Hamiltonian system and obtain the existence of multiple periodic solutions for the equation by employing variational method.

引用

页码：1625 / 1638

页数：14

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