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Local Existence for Partial Neutral Functional Integrodifferential Equations with Infinite Delay
Abderrazzak Boufala , Hassane Bouzahir , and Abdelhakim Maaden
Source: Commun. Math. Anal. Volume 9, Number 2
(2010), 149-168.
Abstract
In this paper, we investigate existence for a class of partial neutral functional integrodifferential equations with infinite delay. Using the integrated semigroup theory and the well known Banach fixed point theorem, we establish local existence and uniqueness of integral solutions to these equations. To illustrate our abstract results, we conclude this work by an example. .
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Keywords: Partial differential equation; integrodifferential equation; integrated semigroup; neutral type; infinite delay
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.cma/1275586737
Zentralblatt MATH identifier: 05768075
Mathematical Reviews number (MathSciNet): MR2737759
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Communications in Mathematical Analysis
