Pseudo Almost Automorphic Solutions of class r for Some Neutral Partial Functional Differential Equations

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Résumé

The aim of this work is to investigate the existence and uniqueness of pseudo almost automorphic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed. Here we assume that the underlayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, the
delayed part are assumed to be pseudo almost automorphic with respect to the first argument and Lipschitz continuous with respect to the second argument.

Mots-clés

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