Existence of Solutions for Second-Order Hamiltonian Systems with Resonance

被引：0

作者：

Hu, Tingting ^{[1
]}

机构：

[1] Nanjing Univ Chinese Med, Coll Informat Technol, Nanjing 210023, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

关键词：

Critical point; Linking; Second-order Hamiltonian system; Index theory; Periodic solutions; MINIMAL PERIOD PROBLEM;

D O I：

10.1007/s40840-018-0692-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2014, J. Pipan and M. Schechter discussed periodic solutions for second-order Hamiltonian systems with resonance. In this paper, we will generalize their results. To this end, we will first establish an index theory for second-order linear Hamiltonian systems with coefficient matrix in L-1. Then we propose generalized assumptions. We also investigate multiple solutions for symmetric second-order Hamiltonian systems.

引用

页码：425 / 439

页数：15

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