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
收藏
页码：1625 / 1638
页数：14
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