Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials

被引：4

作者：

Ning, Yan ^{[1
]}

An, Tianqing ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

periodic solutions; second-order Hamiltonian systems; saddle point theorem; discontinuous nonlinearities; locally Lipschitz continuous; MULTIPLE SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13661-015-0292-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with nonautonomous second-order Hamiltonian systems with nondifferentiable potentials. By using the nonsmooth critical point theory for locally Lipschitz functionals, we obtain some new existence results for the periodic solutions.

引用

页数：12

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