On existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system

被引：18

作者：

Liu, Lishan ^{[1
,2
]}

Zhang, Xinguang ^{[1
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 192卷 / 01期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

nonlinear singular semipositone system; positive solutions; cone;

D O I：

10.1016/j.amc.2007.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By employing the well-known fixed point index theorem and making a substitution, the existence of positive solutions of a two-point boundary value problem for a nonlinear singular semipositone system is investigated. Some new existence results are established and an example is presented to demonstrate the application of our main results. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：223 / 232

页数：10

共 50 条

[1] THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE SINGULAR TWO-POINT BOUNDARY VALUE PROBLEM
Niu, Yanmin
Yan, Baoqiang
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 49 (02) : 665 - 682
[2] Positive solutions of a singular nonlinear third order two-point boundary value problem
Liu, Zeqing
Ume, Jeong Sheok
Kang, Shin Min
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 589 - 601
[3] Existence and iteration of n symmetric positive solutions for a singular two-point boundary value problem
Yao, QL
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (8-9) : 1195 - 1200
[4] Positive solutions of nonlinear singular third-order two-point boundary value problem
Li, Shuhong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (01) : 413 - 425
[5] EXISTENCE OF POSITIVE SOLUTIONS TO SINGULAR SUBLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM
Zhilong Li
[J]. Annals of Applied Mathematics, 2011, 27 (03) : 336 - 342
[6] Existence of Solutions of a Two-Point Boundary Value Problem
Shu-hong Wu Department of Mathematics
[J]. Acta Mathematicae Applicatae Sinica, 2005, (01) : 77 - 80
[7] Existence of solutions of a two-point boundary value problem
Wu S.-H.
[J]. Acta Mathematicae Applicatae Sinica, 2005, 21 (1) : 77 - 80
[8] On the existence of positive solutions for nonlinear two-point boundary-value problems
Mennicken, R
Rachinskii, D
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2001, 6 (06) : 599 - 624
[9] The existence of isolated solutions of nonlinear two-point boundary value problem and their properties
Nazarova, K. Zh.
[J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2016, 81 (01): : 51 - 61
[10] Existence of two positive solutions of a singular nonlinear periodic boundary value problem
Rachunková, I
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) : 27 - 34

← 1 2 3 4 5 →