Nonlinear three-point third-order boundary value problems

被引：29

作者：

Boucherif, Abdelkader

Ai-Malki, Nawal

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

[2] Sci Coll Girls, Dept Math, Dammam, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期

关键词：

third-order differential equations; three-point boundary value problems; a priori bound on solutions; Granas topological; transversality theorem; Schaefer fixed point theorem;

D O I：

10.1016/j.amc.2007.02.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider three-point boundary value problems for third-order differential equations. We provide simple sufficient conditions in order to obtain a priori bounds on solutions. We then rely on the topological transversality theorem of Granas or on Schaefer's theorem to prove existence of solutions. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1168 / 1177

页数：10

共 26 条

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AFTABIZADEH A, 1991, DIFFER INTEGRAL EQU, V4, P189

[2] EXISTENCE AND UNIQUENESS THEOREMS FOR 3-POINT BOUNDARY-VALUE PROBLEMS [J].