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

被引：129

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.

引用

页码：501 / 514

页数：14

共 11 条

[1] Multiple nonnegative solutions for second order impulsive differential equations [J].

Agarwal, RP ;

O'Regan, D .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (01) :51-59

[2]

Ding W., 2004, APPL MATH COMPUT, V155, P709

[3] MULTIPLE POSITIVE SOLUTIONS OF SOME BOUNDARY-VALUE-PROBLEMS [J].

ERBE, LH ;

HU, SC ;

WANG, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :640-648

[4]

GUO DJ, 1988, NONLINEAR PROBLEMS

[5]

HRISTOVA SG, 1996, J MATH ANAL APPL, P1

[6]

Lakshmikntham V, 1989, THEORY IMPULSIVE DIF

[7] Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations [J].

Lee, EK ;

Lee, YH .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (03) :745-759

[8]

LIU X, 1997, APPL MATH COMPUT, V216, P284

[9] Multiple positive solutions of nonlinear two-point boundary value problems [J].

Liu, ZL ;

Li, FY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 203 (03) :610-625

[10] Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions [J].

Rachunková, I ;

Tomecek, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) :525-539

← 1 2 →