Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems

被引：20

作者：

Chen, Huiwen ^{[1
]}

He, Zhimin ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

Hamiltonian systems; homoclinic solutions; variational methods; critical points; CRITICAL-POINTS THEOREM; QUADRATIC POTENTIALS; PERIODIC-SOLUTIONS; ORBITS; MULTIPLICITY; EXISTENCE;

D O I：

10.1186/1687-1847-2014-161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems. By using the dual fountain theorem, we give some new criteria to guarantee that the second-order Hamiltonian systems have infinitely many homoclinic solutions. Some recent results are generalised and significantly improved.

引用

页数：15

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