Existence result for some third order separated boundary value problems

被引：0
|
作者：
Grossinho, MD
Minhós, FM
机构：
[1] Univ Tecn Lisboa, ISEG, Dept Mat, P-1200781 Lisbon, Portugal
[2] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
[3] Univ Evora, Dept Mat, P-7000 Evora, Portugal
[4] Univ Evora, CIMA UE, P-7000 Evora, Portugal
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 04期
关键词：
third order separated boundary -value problem; Nagumo-type conditions; lower and upper solutions; Leray-Schauder degree;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper provides conditions on a continuous function f : [0, 1] x R-3 bar right arrow R in order to obtain an existence and location result for the third order separated boundary value problem [GRAPHICS] with a, c, A, B is an element of R and b, d greater than or equal to 0 such that a(2) + b(2) > 0 and c(2) + d(2) > 0. Nagumo conditions, lower and upper solutions, a priori estimates and Leray-Schauder degree play an important role in the arguments.
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页码：2407 / 2418
页数：12
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