Existence and regularity of solutions in α-norm for some second order partial neutral functional differential equations with finite delay in Banach spaces

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Résumé

In this paper, we investigate the regularity and existence of solutions in the α-norm for some second order partial
neutral functional differential equations with finite delay in Banach spaces. To do this, we use the cosine families theory and Schauder’s fixed point theorem to establish the existence of solutions and then we give some sufficient conditions that ensure the regularity of solutions. Finally, we give an example to illustrate the theoretical results.

Mots-clés

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