The Existence and Multiplicity of Solutions for Second-order Impulsive Differential Equations on the Half-line

被引：2

作者：

Binxiang Dai

Dan Zhang

机构：

[1] Central South University,Department of Mathematics

[2] Hunan University of Science and Engineering,Department of Mathematics

来源：

Results in Mathematics | 2013年 / 63卷

关键词：

34B37; 35B38; Impulsive differential equations; critical point theory; half-line; variant fountain theorems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the existence and multiplicity of solutions for a class of nonlinear impulsive problem on the half-line. By using a variational method and a variant fountain theorem, we obtain some new criteria to guarantee that the impulsive problem has at least one solution and infinitely many solutions respectively. We extend and improve some recent results.

引用

页码：135 / 149

页数：14

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