Existence of solutions to second order problems with nonlinear boundary conditions

Daniel Franco; Donal O'Regan

doi:10.3934/proc.2003.2003.273

Article Contents

2003, Volume 2003: 273-280. Doi: 10.3934/proc.2003.2003.273 open access

This issue Previous Article Solutions and positive solutions for some three-point boundary value problems Next Article Fractal dimension of attractors for a Stefan problem

Existence of solutions to second order problems with nonlinear boundary conditions

Daniel Franco^1, and
Donal O'Regan²

1.
Departamento de Matemática Aplicada, ETSI Industriales, UNED, Apartado de Correos 60149, Madrid, 28080
2.
Department of Mathematics, National University of Ireland, Galway

Received: September 2002

Published: March 2003

Abstract Related Papers Cited by

Abstract

We prove several new existence results for second–order differential equations with nonlinear boundary value conditions including periodic, antiperiodic and Dirichlet data among others. New definitions of upper and lower solutions for our problems are presented and existence will be established via fixed point methods.

Keywords:

Nonlinear ordinary differential equation,
nonlinear boundary condition,
upper and lower solutions.

Mathematics Subject Classification: Primary: 34B15, 34A34.

Citation:

Article Metrics

HTML views() PDF downloads(781) Cited by(0)

Existence of solutions to second order problems with nonlinear boundary conditions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Existence of solutions to second order problems with nonlinear boundary conditions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content