ANZIAM J.
46 (2004), 33-44
|
Existence of solutions of third-order functional problems with nonlinear boundary conditions
|
Alberto Cabada
Departamento de Análise Matemática
Facultade de Matemáticas
Universidade de Santiago de Compostela
15782, Santiago de Compostela
Galicia
Spain
cabada@usc.es
|
|
|
Seppo Heikkilä
Department of Mathematical Sciences
University of Oulu
P.O. Box 3000
FIN-90014, Oulu
Finland
|
|
|
Abstract
|
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.
|
Download the article in PDF format (size 106 Kb)
|
|
|