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Djendode Mbainadji, Djokata Votsia and Issa Zabsonre, Pseudo almost periodic solutions of infinite class in the α-norm under the light of measure theory, Eur. J. Math. Appl. 4 (2024), Article ID 9.

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Volume 4 (2024), Article ID 9

https://doi.org/10.28919/ejma.2024.4.9

Published: 25/03/2024

Abstract:

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 $(\mu,\nu)$-pseudo almost periodic solutions in the $\alpha$-norm of the infinite class for some functional differential in Banach space when the delay is unbounded.

How to Cite:

Djendode Mbainadji, Djokata Votsia and Issa Zabsonre, Pseudo almost periodic solutions of infinite class in the α-norm under the light of measure theory, Eur. J. Math. Appl. 4 (2024), Article ID 9. https://doi.org/10.28919/ejma.2024.4.9