International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 1997 / Article

Open Access

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

Ludwik Byszewski, Haydar Akca, "On a mild solution of a semilinear functional-differential evolution nonlocal problem", International Journal of Stochastic Analysis, vol. 10, Article ID 806158, 7 pages, 1997. https://doi.org/10.1155/S1048953397000336

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

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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