Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems

被引：6

作者：

Zou, WM ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 04期

基金：

中国国家自然科学基金;

关键词：

critical group; Maslov-type index; Galerkin approximation; 1-periodic solution; resonant;

D O I：

10.1016/S0362-546X(01)00115-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The critical groups and the nontrivial solutions for resonant type asymtotically linear Hamiltonian systems (HS) were computed. The analysis assumed the existence of two symmetric continuous 1-periodic matrix functions. The existence of nontrivial periodic solutions of HS in the general case of unbounded nonlinearities was discussed.

引用

页码：481 / 499

页数：19

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