Multiple positive solutions of a singular gelfand type problem for second-order impulsive differential systems

被引：10

作者：

Lee, EK ^{[1
]}

Lee, YH ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 3-4期

关键词：

second-order impulsive differential system; singular boundary value problem; semilinear elliptic problem; positive solution; radial solution; upper solution; lower solution; fixed-point index;

D O I：

10.1016/j.mcm.2003.12.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the existence of multiple positive solutions of a singular boundary value problem for second-order impulsive differential systems with real multiparameters. The existence phenomenon of positive solutions depends on the parameters and we give a full analysis about multiplicity, existence, and nonexistence with respect to the parameters. Proofs are mainly employed by the upper and lower solutions method for systems and the fixed-point index argument. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：307 / 328

页数：22

共 18 条

[1] A coupled system of difference equations [J].