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.
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页码：277 / 287
页数：11
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