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

Advances in Difference Equations

Huiwen Chen¹  Zhimin He² 

[1] School of Mathematics and Statistics, Central South University, Changsha, People’s Republic of China

关键词: Hamiltonian systems;    homoclinic solutions;    variational methods;    critical points;   

DOI  :  10.1186/1687-1847-2014-161

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:34B08, 34B15, 34B37, 58E30.

【 授权许可】

CC BY