On nonlinear boundary value problems with deviating arguments and discontinuous right hand side

Dhage, B. C.; Heikkilä, S.

doi:https://doi.org/10.1155/S1048953393000085

International Journal of Stochastic Analysis

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Volume 6 | Article ID 945716 | https://doi.org/10.1155/S1048953393000085

On nonlinear boundary value problems with deviating arguments and discontinuous right hand side

B. C. Dhage¹and S. Heikkilä²

Received01 Dec 1992

Revised01 Mar 1993

Abstract

In this paper we shall study the existence of the extremal solutions of a nonlinear boundary value problem of a second order differential equation with general Dirichlet/Neumann form boundary conditions. The right hand side of the differential equation is assumed to contain a deviating argument, and it is allowed to possess discontinuities in all the variables. The proof is based on a generalized iteration method.

Copyright

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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