Applications of variational methods to boundary-value problem for impulsive differential equations

被引：181

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 Math Appl, Beijing 100081, Peoples R China

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2008年 / 51卷

关键词：

Sturm-Liouville boundary-value problem; impulsive effects; variational methods; mountain-pass theorem;

D O I：

10.1017/S0013091506001532

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of positive solutions to a second-order Sturm-Lionville boundary-value problem with impulsive effects. The ideas involve differential inequalities and variational methods.

引用

页码：509 / 527

页数：19

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