Variational methods to Sturm-Liouville boundary value problem for impulsive differential equations

被引：86

作者：

Tian, Yu ^{[1
]}

Ge, Weigao ^{[2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 01期

关键词：

Sturm-Liouville boundary value problem; Impulsive effects; Critical point theory; Variational methods; MULTIPLE POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; SYSTEMS;

D O I：

10.1016/j.na.2009.06.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a linear Sturm-Liouville impulsive problem and a nonlinear Sturm-Liouville impulsive problem. By applying a new approach via critical point theory and variational methods, the existence results of positive solutions are obtained. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

引用

页码：277 / 287

页数：11

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