Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations

被引：128
作者：
Lin, Xiaoning [1 ]
Jiang, Daqing
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] NE Normal Univ, Sch Business, Changchun 130024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Dirichlet boundary value problem with impulse effects; multiple positive solutions; fixed point index;
D O I：
10.1016/j.jmaa.2005.07.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to study the existence of multiple positive solutions for the second order Dirichlet boundary value problem with impulse effects. The main results here is the generalization of Liu and Li [L. Liu, F.Y. Li, Multiple positive solution of nonlinear two-point boundary value problems. J. Math. Anal. Appl. 203 (1996) 610-625] for ordinary differential equations. Existence is established via the theory of fixed point index in cones. (c) 2005 Elsevier Inc. All rights reserved.
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页码：501 / 514
页数：14
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