Positive solutions to singular semipositone boundary value problems of second order coupled differential systems

被引：2

作者：

Cao Z. ^{[1
,2
]}

Lv Y. ^{[3
]}

Jiang D. ^{[2
]}

Zu L. ^{[4
]}

机构：

[1] Department of Applied Mathematics, Jilin University of Finance and Economics

[2] School of Mathematics and Statistics, Northeast Normal University

[3] School of Mathematics, Jilin University

[4] College of Science, Changchun University

来源：

Journal of Applied Mathematics and Computing | 2014年 / 46卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Positive solutions; Schauder's fixed point theorem; Semipositone boundary value problem; Singular coupled Dirichlet systems;

D O I：

10.1007/s12190-013-0733-6

中图分类号：

学科分类号：

摘要：

We establish the existence of positive solutions for the second order singular semipositone coupled Dirichlet systems x″ +f1(t,y(t)) +e1(t) = 0, y ″ +f2(t,x(t)) +e2(t) = 0, x(0) = x(1) = 0, y(0) = y(1) = 0. The proof relies on Schauder's fixed point theorem. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：1 / 16

页数：15

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