Triple positive solutions of nonlinear singular sturm-liouville boundary value problems

被引：0

作者：

Liu, Yansheng ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2007年 / 16卷 / 03期

关键词：

fixed point; singularity; cone; positive solution; boundary value problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new theorem on the existence of triple nontrivial fixed points and then investigates the existence of triple positive solutions of a class of nonlinear singular boundary value problem by using this new fixed point theorem. Meanwhile, an example is worked out to demonstrate the main result.

引用

页码：533 / 550

页数：18

共 50 条

[1] Positive solutions of singular nonlinear Sturm-Liouville boundary value problems
Sun, Y
Liu, LS
Cho, YJ
[J]. ANZIAM JOURNAL, 2004, 45 : 557 - 571
[2] Positive solutions of singular Sturm-Liouville boundary value problems
Zhang, BG
Kong, LJ
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2001, 8 (03): : 373 - 382
[3] On existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system
Yang, Jingbao
Wei, Zhongli
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) : 6097 - 6104
[4] POSITIVE SOLUTIONS FOR SINGULAR STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS ON THE HALF LINE
Xu, Jiafa
Yang, Zhilin
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[5] Positive Solutions of Singular Sturm-Liouville Boundary Value Problems with Positive Green Function
Qingliu YAO
[J]. Journal of Mathematical Research with Applications, 2013, 33 (05) : 561 - 568
[6] Positive Solutions for Singular Sturm-Liouville Boundary Value Problems with Integral Boundary Conditions
Liu, Xiping
Xiao, Yu
Chen, Jianming
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (77) : 1 - 15
[7] On the existence and nonexistence of positive solutions for nonlinear Sturm-Liouville boundary value problems
Li, YX
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (01) : 74 - 86
[8] Property of positive solutions and its applications for Sturm-Liouville singular boundary value problems
Zhao, Zengqin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4514 - 4520
[9] Uniqueness of positive solutions for Sturm-Liouville boundary value problems
Wong, FH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (02) : 365 - 374
[10] The existence of positive solutions for the Sturm-Liouville boundary value problems
Agarwal, RP
Hong, HL
Yeh, CC
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (09) : 89 - 96

← 1 2 3 4 5 →