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Pseudo lmost periodic solutions of infinite class in the α-norm under the light of measure theory

  • European Journal of Mathematics and Applications : 1-23
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : ZABSONRE Issa
Renseignée par : ZABSONRE Issa

Résumé

The aim of this work is to study weighted pseudo almost periodic functions with infinite delay via measure theory. Using the Banach fixed point theorem and the techniques of fractional powers of an operator, we establish the existence and uniqueness of pseudo almost periodic solutions in the alpha-norm of the infinite class for some functional differential in
Banach space when the delay is unbounded.

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