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EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS*

Published online by Cambridge University Press:  09 August 2007

ALBERTO CABADA  and
JOSÉ ÁNGEL CID
ALBERTO CABADA
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain e-mail: [email protected]
JOSÉ ÁNGEL CID
Affiliation:
Departamento de Matemáticas, Universidad de Jaén, Campus Las Lagunillas, Ed. B3, 23009, Jaén, Spain e-mail: [email protected]
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Abstract

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In this paper we deal with some boundary value problems related with diffusion processes in the presence of lower and upper solutions. Singularities as well as non local boundary conditions are allowed. We also prove the existence of extremal solutions and the uniqueness of solution for a particular case.

Keywords

34B1534B16
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 2 , May 2007 , pp. 213 - 224
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

Footnotes

*

Partially supported by D.G.I. and F.E.D.E.R. project BFM2001-3884-C02-01, and by Xunta of Galicia and F.E.D.E.R. project PGIDT05PXIC20702PN, Spain.

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