Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods

被引：58

作者：

Xiao, Jing ^{[1
]}

Nieto, Juan J. ^{[2
]}

Luo, Zhiguo ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期

关键词：

Boundary value problem with impulses; Critical point theory; Variational methods; BOUNDARY-VALUE PROBLEM; FUNCTIONAL-RESPONSE; PERIODIC-SOLUTION; SYSTEMS; MODEL; STRATEGY;

D O I：

10.1016/j.cnsns.2011.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses critical point theory and variational methods to investigate the multiple solutions of boundary value problems for second order impulsive differential equations. The conditions for the existence of multiple solutions are established. An example is constructed to illustrate the proposed result. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：426 / 432

页数：7

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