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

  • 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
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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Published
27.11.2022
How to Cite
RebeyA., Ben-ElmonserH., EljeriM., and MiraouiM. “Pseudo Almost Periodic Solutions in the Alpha-Norm and Stepanov’s Sense for Some Evolution Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 10, Nov. 2022, pp. 1401 -5, doi:10.37863/umzh.v74i10.6315.
Section
Research articles