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

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

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 $C_0$ 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].

Related collections

Author and article information

Journal

Title: Journal of Applied Mathematics and Stochastic Analysis

Abbreviated Title: Journal of Applied Mathematics and Stochastic Analysis

Publisher: Hindawi Limited

ISSN (Print): 1048-9533

ISSN (Electronic): 1687-2177

Publication date Created: January 01 1997

Publication date (Print): January 01 1997

Volume: 10

Issue: 3

Pages: 265-271

Affiliations

[1 ]Cracow University of Technology, Institute of Mathematics, Warszawska 24, Cracow 31-155, Poland

[2 ]Akdeniz University, Department of Mathematics, Antalya 0720, Turkey

Article

DOI: 10.1155/S1048953397000336

SO-VID: 695e8fbf-8610-4e8f-a068-6f128f7a0592

License:

http://creativecommons.org/licenses/by/3.0/

History

Data availability:

Comments

Comment on this article

scite_

Cited by 30

See all cited by