Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems

被引：42

作者：

Sun, Juntao ^{[1
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

关键词：

Impulsive differential equations; Critical point; Variational method; Variant fountain theorems; 2ND-ORDER HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2010.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of infinitely many classical solutions for a class of second-order impulsive differential equations. By using two new fountain theorems, we deal with two cases: that when the nonlinearity is superlinear and that when it is asymptotically linear at infinity. Some recent results are extended and improved. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4062 / 4071

页数：10

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