Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations

被引：16

作者：

Sun, Hong-Rui ^{[1
]}

Li, Ya-Ning ^{[1
]}

Nieto, Juan J. ^{[2
,3
]}

Tang, Qing ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

MULTIPLE POSITIVE SOLUTIONS; VARIATIONAL-METHODS; SYSTEMS; PERTURBATIONS;

D O I：

10.1155/2012/707163

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 for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.

引用

页数：19

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