Solutions to a boundary value problem of a fourth-order impulsive differential equation

被引：26

作者：

Xie, Jingli ^{[1
]}

Luo, Zhiguo ^{[2
]}

机构：

[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

critical point theorem; impulsive differential equations; boundary value problem; MULTIPLICITY; EXISTENCE;

D O I：

10.1186/1687-2770-2013-154

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter.. By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least one solution. It is also shown that under certain conditions there exists an interval of the control parameter in which the boundary value problem possesses infinitely many solutions. The main results are also demonstrated with examples.

引用

页数：14

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