Positive solutions for singular third-order nonhomogeneous boundary value problems

被引：0

作者：

Liu, Zhisu ^{[1
]}

Chen, Haibo ^{[1
]}

Liu, Cheng ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 410075, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2012年 / 38卷 / 1-2期

关键词：

Positive solutions; Singular; Three-order; Boundary value problems; Differential equations;

D O I：

10.1007/s12190-010-0470-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of positive solutions for singular third-order nonhomogeneous boundary value problems. By using a fixed point theorem of cone expansion-compression type due to Krasnosel'skii, we establish various results on the existence or nonexistence of single and multiple positive solutions to the singular boundary problems in the explicit intervals for the nonhomogeneous term. An example is also given to illustrate some of the main results.

引用

页码：161 / 172

页数：12

共 50 条

[1] Positive solutions for singular third-order nonhomogeneous boundary value problems
Zhisu Liu
Haibo Chen
Cheng Liu
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 161 - 172
[2] Positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions
Kang, Ping
WSEAS Transactions on Mathematics, 2011, 10 (12) : 500 - 508
[3] Positive solutions for third-order three-point nonhomogeneous boundary value problems
Sun, Yongping
APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 45 - 51
[4] Positive solutions of singular third-order three-point boundary value problems
Yao, Qingliu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (01) : 207 - 212
[5] Multiplicity of positive periodic solutions of singular semipositone third-order boundary value problems
Sun, Yigang
BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
[6] POSITIVE SOLUTIONS OF SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEMS
Yan, Baoqiang
Liu, Xuan
INTEGRAL EQUATIONS, BOUNDARY VALUE PROBLEMS AND RELATED PROBLEMS: DEDICATED TO PROFESSOR CHIEN-KE LU ON THE OCCASION OF HIS 90TH BIRTHDAY, 2013, : 115 - 129
[7] Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems
Yigang Sun
Boundary Value Problems, 2008
[8] POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR THIRD-ORDER THREE-POINT NONHOMOGENEOUS BOUNDARY VALUE PROBLEM
Wang, Cai-Xun
Sun, Hong-Rui
DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (02): : 225 - 234
[9] Existence of positive solutions for third-order boundary value problems
Nyamoradi, N.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2012, 4 (01): : 8 - 18
[10] Positive solutions for singular non-linear third-order periodic boundary value problems
Chu, JF
Zhou, ZC
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (07) : 1528 - 1542

← 1 2 3 4 5 →