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

[21] NONLINEAR PERTURBATIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS
BRAUER, F
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) : 591 - &
[22] Nonlinear singular Sturm-Liouville problems
Duhoux, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 38 (07) : 897 - 918
[23] On a class of singular Sturm-Liouville periodic boundary value problems
Cabada, Alberto
Angel Cid, J.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2378 - 2384
[24] SINGULAR STURM LIOUVILLE PROBLEMS AND EXISTENCE OF SOLUTIONS TO SINGULAR NONLINEAR BOUNDARY-VALUE-PROBLEMS
OREGAN, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (07) : 767 - 779
[25] A new existence result of positive solutions for the Sturm-Liouville boundary value problems
Yang, G. C.
Zhou, P. F.
[J]. APPLIED MATHEMATICS LETTERS, 2014, 29 : 52 - 56
[26] Multiplicity and nonexistence of positive solutions to impulsive Sturm-Liouville boundary value problems
Yang, Xuxin
Liu, Piao
Wang, Weibing
[J]. BOUNDARY VALUE PROBLEMS, 2024, 2024 (01)
[27] Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equations with impulses
Yang, Xuxin
Wang, Weibing
Shen, Jianhua
[J]. INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2012, 4 (04) : 308 - 322
[28] New existence theorems of positive solutions for Sturm-Liouville boundary value problems
Ge, WG
Ren, JL
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (03) : 631 - 644
[29] Positive Solutions of Sturm-Liouville Boundary Value Problems in Presence of Upper and Lower Solutions
Zhang, Li
Huang, Xiankai
Ge, Weigao
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[30] Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Caratheodory Perturbed Term
Han, Yuefeng
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,

← 1 2 3 4 5 →