Periodic Solutions for Second-Order Differential Equations involving Nonconvex Superpotentials

被引：0

作者：

Samir Adly

Dumitru Motreanu

机构：

[1] Universite de Limoges,LACO

[2] Universitatea Al. I. Cuza,Department of Mathematics

来源：

Journal of Global Optimization | 2000年 / 17卷

关键词：

Discontinuous Hamiltonian system; Generalized gradient; Hemivariational inequality; Periodic solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper establishes the existence of a nonconstant periodic solution of a general second order nonautonomous Hamiltonian system with discontinuous nonlinearities. The multiplicity of solutions is also studied.

引用

页码：9 / 17

页数：8

共 8 条

[1]

Adly S.(1997)Periodic and homoclinic solutions for a class of unilateral problems Discrete and Continuous Dynamical Systems 3 579-590

[2]

Goeleven D.(1981)Variational methods for non-differentiable functionals and their applications to partial differential equations J. Math. Anal. Appl. 80 102-129

[3]

Motreanu D.(1995)Existence of critical points in a general setting Set-Valued Anal. 3 295-305

[4]

Chang K.C.(1996)Discontinuous semilinear problems in vector-valued functions spaces Differ. Int. Equations 9 581-598

[5]

Motreanu D.(1983)Nonconvex energy function, hemivariational inequalities and substationarity principles Acta Mech. 48 160-183

[6]

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