Stepanov-Like Pseudo Almost Periodic Solutions of Class r in $\alpha$-Norm under the Light of Measure Theory

Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-Khalil Kpoumie, Salifou Mboutngam

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Keywords:

ergodicity, weighted Stepanov-like pseudo almost periodic function, analytic semigroup, fractional power; evolution equations, partial functional differential equations

Abstract

The aim of this work is to present some interesting results on  weighted ergodic functions. We also study the existence and uniqueness of $(\mu,\nu)$-weighted Stepanov-like pseudo almost periodic solutions class r for some partial differential equations in a Banach space when the delay is distributed using the spectral decomposition of the phase space developed by Adimy and his co-authors.

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Published

2022-06-30

How to Cite

Team, S. (2022). Stepanov-Like Pseudo Almost Periodic Solutions of Class r in $\alpha$-Norm under the Light of Measure Theory: Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-Khalil Kpoumie, Salifou Mboutngam. Thai Journal of Mathematics, 20(2), 813–841. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1363

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