VARIATIONAL METHODS TO MIXED BOUNDARY VALUE PROBLEM FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH A PARAMETER

被引：10

作者：

Tian, Yu ^{[1
]}

Wang, Jun ^{[2
]}

Ge, Weigao ^{[3
]}

机构：

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

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 04期

关键词：

Mixed boundary value problem; Impulsive effect; Critical point theory; MULTIPLE POSITIVE SOLUTIONS; PERIODIC-SOLUTIONS; SYSTEMS; THEOREM;

D O I：

10.11650/twjm/1500405513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study mixed boundary value problem for second-order impulsive differential equations with a parameter. By using critical point theory, several new existence results are obtained. This is one of the first times that impulsive boundary value problems are studied by means of variational methods.

引用

页码：1353 / 1370

页数：18

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