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

页码：315 / 327

页数：13

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