Solvability of Third-Order Three-Point Boundary Value Problems

被引：3

作者：

Liu, Dongyuan ^{[1
]}

Ouyang, Zigen ^{[1
]}

机构：

[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1155/2014/793639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the existence theorems for a third-order three-point boundary value problem. In the nonresonant case, using the Krasnosel'skii fixed point theorem, we obtain some sufficient conditions for the existence of the positive solutions. In addition, we focus on the resonant case, the boundary value problem being transformed into an integral equation with an undetermined parameter, and the existence conditions being obtained by the Intermediate Value Theorem.

引用

页数：7

共 50 条

[41] POSITIVE SOLUTIONS OF NONLINEAR SINGULAR THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
Hao, Zhao-Cai
Yan, Wen
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2010, 6 (01): : 57 - 71
[42] Third-order differential equations with three-point boundary conditions
Cabada, Alberto
Dimitrov, Nikolay D.
[J]. OPEN MATHEMATICS, 2021, 19 (01): : 11 - 31
[43] The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem
Qing-liu YaoDepartment of Applied Mthematics
[J]. Acta Mathematicae Applicatae Sinica, 2003, (01) : 117 - 122
[44] The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem
Qing-Liu Yao
[J]. Acta Mathematicae Applicatae Sinica, 2003, 19 (1) : 117 - 122
[45] Computing the positive solutions of the discrete third-order three-point right focal boundary-value problems
Ji, Jun
Yang, Bo
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (05) : 996 - 1004
[46] Solvability of a third-order two-point boundary value problem
Feng, YQ
Liu, SY
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (09) : 1034 - 1040
[47] Solvability for a Fractional Order Three-Point Boundary Value System at Resonance
Ouyang, Zigen
Liu, Hongliang
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[48] Solvability for second-order three-point boundary value problems on a half-line
Lian, Hairong
Ge, Weigao
[J]. APPLIED MATHEMATICS LETTERS, 2006, 19 (10) : 1000 - 1006
[49] Solvability of fractional three-point boundary value problems with nonlinear growth
Bai, Zhanbing
Zhang, Yinghan
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1719 - 1725
[50] Application of reproducing kernel method to third order three-point boundary value problems
Wu, Boying
Li, Xiuying
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3425 - 3428

← 1 2 3 4 5 →