A CLASS OF SINGULAR FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEMS

被引：0

作者：

Qingliu Yao (Dept. of Applied Math.

机构：

来源：

Annals of Applied Mathematics | 2010年 / 04期

关键词：

nonlinear ordinary differential equation; multi-point boundary value problem; singularity; existence;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

This paper studies the existence of nontrivial solution to a nonlinear fourthorder three-point boundary value problem, where the nonlinear term is a strong Carathodory function and contains all order derivatives of unknown function. By introducing a height function of nonlinear term on some bounded set and considering the integration of the height function, some existence results are obtained.

引用

页码：477 / 483

页数：7

共 50 条

[1] A CLASS OF SINGULAR FOURTH-ORDER THREE-POINT BOUNDARY VALUE PROBLEMS
Qingliu Yao Dept of Applied Math Nanjing University of Finance and Economics Nanjing
[J]. Annals of Differential Equations., 2010, 26 (04) - 483
[2] Existence of positive solutions for singular fourth-order three-point boundary value problems
Yan Sun
Cun Zhu
[J]. Advances in Difference Equations, 2013
[3] Existence of positive solutions for singular fourth-order three-point boundary value problems
Sun, Yan
Zhu, Cun
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[4] Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems
Chuanzhi Bai
[J]. Boundary Value Problems, 2007
[5] Existence of positive solutions for fourth-order three-point boundary value problems
Bai, Chuanzhi
[J]. BOUNDARY VALUE PROBLEMS, 2007, 2007 (1)
[6] The Existence of Positive Solutions of Singular Fourth-order Three Point Boundary Value Problems
Wang, Xinhua
[J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 722 - 725
[7] A unique solution to a fourth-order three-point boundary value problem
Erturk, Vedat Suat
[J]. TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (05) : 1941 - 1949
[8] A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
Yao, Qingliu
[J]. ANNALES POLONICI MATHEMATICI, 2013, 109 (03) : 311 - 325
[9] On the convergence of a fourth-order method for a class of singular boundary value problems
Pandey, R. K.
Singh, Arvind K.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 734 - 742
[10] Triple positive solutions of three-point boundary value problems for fourth-order differential equations
Bai, Chuanzhi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) : 1364 - 1371

← 1 2 3 4 5 →