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Existence of solutions of third-order functional problems with nonlinear boundary conditions

Published online by Cambridge University Press:  17 February 2009

Alberto Cabada  and
Seppo Heikkilä
Alberto Cabada
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Galicia, Spain; e-mail: cabada@usc.es.
Seppo Heikkilä
Affiliation:
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN–90014, Oulu, Finland.
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Abstract

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In this paper some existence results for third-order differential equations with nonlinear boundary value conditions are derived. Functional dependence in the data is allowed. In the proofs we use the method of upper and lower solutions, Schauder's fixed point theorem and results from Cabada and Heikkilä on third-order differential equations with linear and nonfunctional initial-boundary value conditions.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 1 , July 2004 , pp. 33 - 44
Copyright
Copyright © Australian Mathematical Society 2004

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