Fourth-order problems with nonlinear boundary conditions

被引：54
|
作者：
Franco, D
O'Regan, D
Perán, J
机构：
[1] Univ Nacl Educ Distancia, Dept Matemat Aplicada, Madrid 28080, Spain
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 174卷 / 02期
关键词：
fourth-order nonlinear boundary value problems; lower and upper solutions; beam equation;
D O I：
10.1016/j.cam.2004.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop anew method of lower and upper solutions for a fourth-order nonlinear boundary value problem where the differential equation has dependence on all lower-order derivatives. Our boundary conditions are nonlinear. We will assume the functions that define the nonlinear boundary conditions are either monotone or nonmonotone. As a result we obtain existence principles which improve recent results in the literature. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：315 / 327
页数：13
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