Nonlinear three-point third-order boundary value problems

被引：30
|
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.
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页码：1168 / 1177
页数：10
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