Pseudo almost periodic solutions in the alpha-norm and Stepanov's sense for some evolution equations

A.  Rebey; H.  Ben-Elmonser; M.  Eljeri; M.  Miraoui

doi:10.37863/umzh.v74i10.6315

A. Rebey Business Administration Department, College of Business Administration, Majmaah Univ., Saudi Arabia and ISMAIK, Kairouan Univ., Tunisia https://orcid.org/0000-0002-7469-9286
H. Ben-Elmonser Mathematics Department, College of Science Al-Zul , Majmaah Univ., Saudi Arabia
M. Eljeri IPEIM, Monastir Univ., Tunisia
M. Miraoui IPEIK, Kairouan Univ., Tunisia https://orcid.org/0000-0002-0632-8723

DOI: https://doi.org/10.37863/umzh.v74i10.6315

Keywords: STEPANOV’S SENSE

Abstract

UDC 517.9

Our aim is to present the concept of double-measure ergodic and double-measure pseudo almost periodic functions in Stepanov's sense. In addition, we present numerous interesting results, such as the composition theorems and completeness properties for these two spaces of the considered functions. We also establish the existence and uniqueness for the double-measure pseudo almost periodic mild solutions in Stepanov's sense for some evolution equations.

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