Fourth-order problems with nonlinear boundary conditions

Donal O'Regan

doi:10.1016/j.cam.2004.04.013

Fourth-order problems with nonlinear boundary conditions

Donal O'Regan

Mathematics

Universidad Nacional de Educación a Distancia (UNED)

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

62 Citations (Scopus)

Abstract

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.

Original language	English (Ireland)
Pages (from-to)	315-327
Number of pages	13
Journal	Journal Of Computational And Applied Mathematics
Volume	174
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2004.04.013
Publication status	Published - 1 Feb 2005

Keywords

Beam equation
Fourth-order nonlinear boundary value problems
Lower and upper solutions

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Franco, D,O'Regan, D,Peran, J

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10.1016/j.cam.2004.04.013

Cite this

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AB - 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.

KW - Beam equation

KW - Fourth-order nonlinear boundary value problems

KW - Lower and upper solutions

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DO - 10.1016/j.cam.2004.04.013

M3 - Article

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JO - Journal Of Computational And Applied Mathematics

JF - Journal Of Computational And Applied Mathematics

IS - 2

ER -

Fourth-order problems with nonlinear boundary conditions

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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