Existence and uniqueness of solutions for singular fourth-order boundary value problems

被引：0

作者：

Lin, Xiaoning ^{[1
]}

Jiang, Daqing

Li, Xiaoyue

机构：

[1] NE Normal Univ, Sch Business, Changchun 130024, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 196卷 / 01期

关键词：

mixed monotone operator; fourth-order boundary value problem; singular; existence; uniqueness;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By mixed monotone method, the existence and uniqueness are established for singular fourth-order boundary value problems. The theorems obtained are very general and complement previous known results. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：155 / 161

页数：7

共 50 条

[31] Existence and Uniqueness of Symmetric Positive Solutions for Fourth-Order Nonlinear Singular Sturm-Liouville-Like Integral Boundary Value Problems
Wang, Lei
Zhao, Qiming
Lv, Chao
2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 66 - +
[32] Nonresonant singular fourth-order boundary value problems
Jiang, DQ
Liu, HZ
Xu, XJ
APPLIED MATHEMATICS LETTERS, 2005, 18 (01) : 69 - 75
[33] EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM
Danet, Cristian-Paul
ANZIAM JOURNAL, 2019, 61 (03): : 305 - 319
[34] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR FOURTH-ORDER m-POINT BOUNDARY VALUE PROBLEMS WITH TWO PARAMETERS
Hao, Xinan
Xu, Naiwei
Liu, Lishan
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2013, 43 (04) : 1161 - 1180
[35] Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems
Bachar, Imed
Maagli, Habib
JOURNAL OF FUNCTION SPACES, 2014, 2014
[36] Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters
Liu, Xi-Lan
Li, Wan-Tong
MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (3-4) : 525 - 534
[37] Existence of Nontrivial Solutions for Boundary Value Problems of Fourth-Order Differential Equations
Li, Hongyu
AXIOMS, 2024, 13 (11)
[38] Existence and uniqueness of solutions of a fourth-order boundary value problem with non-homogeneous boundary conditions
Kaufmann, Eric R.
Whaley, Zach
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (59) : 1 - 11
[39] Existence and uniqueness of solutions for fourth-order periodic boundary value problems under two-parameter nonresonance conditions
He Yang
Yue Liang
Pengyu Chen
Boundary Value Problems, 2013
[40] Extremal solutions of fourth-order boundary value problems
N. I. Vasil’ev
A. Ya. Lepin
L. A. Lepin
Differential Equations, 2012, 48 : 1 - 10

← 1 2 3 4 5 →