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Existence Results for Partial Neutral Functional Differential Equations with Unbounded Delay

✍ Scribed by Eduardo Hernández; Hernán R Henrı́quez

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
267 KB
Volume
221
Category
Article
ISSN
0022-247X

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✦ Synopsis

This work is concerned with a class of quasi-linear partial neutral functional differential equations with unbounded delay. Specifically, we establish existence of mild and strong solutions for equations that can be described as an abstract Ž Ž . Ž .. Ž . Ž . functional differential equation drdt x t q F t, x s Ax t q G t, x , where

is the infinitesimal generator of a strongly continuous semigroup of linear operators on a Banach space and F and G are appropriate functions defined on a phase space.

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