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Existence of some neutral partial differential equations with infinite delay

✍ Scribed by Jung-Chan Chang


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
277 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis


This study intends to investigate a class of quasi-linear partial neutral functional differential equations with infinite delay. We assume that the linear part generates an analytic compact semigroup and the nonlinear part satisfies certain conditions. A sufficient condition is given to ensure the existence of mild and classical solutions. Finally, an example is given to illustrate our abstract results.


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