Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory

被引：41

作者：

Bai, Liang ^{[1
]}

Dai, Binxiang ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 9-10期

基金：

中国国家自然科学基金;

关键词：

Impulsive; Critical point; P-Laplacian; Sturm-Liouville boundary value problem; PREDATOR-PREY MODEL; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; P-LAPLACIAN; VARIATIONAL-METHODS; PERIODIC-SOLUTIONS; SYSTEMS;

D O I：

10.1016/j.mcm.2011.01.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, an impulsive boundary value problem with a parameter is considered. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, two solutions and infinitely many solutions when the parameter lies in different intervals. The results obtained are also valid and new for a problem discussed in the literature. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1844 / 1855

页数：12

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