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

Author:

Cabada Alberto,Heikkilä Seppo

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference20 articles.

1. Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems;Omari;Appl. Math. Comput.,1992

2. Existence theorems for a certain nonlinear boundary value problem of the third order;Rusnák;Math. Slovaca,1987

3. On a kind of nonlinear boundary value problem of third order differential equation;Chen;Ann. Differential Equations,1988

4. Singular problems modelling phenomena in the theory of pseudoplastic fluids

5. Existence of solutions of nonlinear two-point boundary value problems for third-order nonlinear differential equations;Wang;Northeast. Math. J.,1991

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