International Journal of Stochastic Analysis

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International Journal of Stochastic Analysis / 1997 / Article

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Volume 10 |Article ID 806158 | 7 pages | https://doi.org/10.1155/S1048953397000336

On a mild solution of a semilinear functional-differential evolution nonlocal problem

Ludwik Byszewski1 and Haydar Akca2

1Cracow University of Technology, Institute of Mathematics, Warszawska 24, Poland

2Akdeniz University, Department of Mathematics, Turkey

Received01 Feb 1997
Revised01 May 1997

Abstract

The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional-differential evolution equation in a general Banach space are studied. Methods of a C0 semigroup of operators and the Banach contraction theorem are applied. The result obtained herein is a generalization and continuation of those reported in references [2-8].

Copyright © 1997 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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