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\begin{document}

\title{p -th mean pseudo almost automorphic solutions of class r under the
light of measure theory}



\author[1]{Mbaiandji Djendode}%
\author[2]{Issa ZABSONRE}%
\affil[1]{Universite de N'Djamena}%
\affil[2]{Universite Joseph Ki-Zerbo}%


\vspace{-1em}



  
  \date{May 23, 2024}


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\selectlanguage{english}
\begin{abstract}
The objective in this work is to present a new concept of \emph{p}-th
mean pseudo almost automorphic by use of the measure theory. We use the
( \selectlanguage{greek}\emph{µ,ν}\selectlanguage{english})-ergodic process to define the spaces of (
\selectlanguage{greek}\emph{µ,ν}\selectlanguage{english})-pseudo almost automorphic process of class \emph{r} in the
p-th sense. To do this, firstly we show some interesting results
regarding the completeness and composition theorems. Secondly we study
the existence, uniqueness of the \emph{p}-th mean ( \selectlanguage{greek}\emph{µ,ν}\selectlanguage{english})-pseudo
almost automorphic solution of class \emph{r} for the stochastic
evolution equation. \textbf{AMS Subject Classification} : 60H15 ; 60G20
; 34K30 ; 34K50 ; 43A60.%
\end{abstract}%



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\textbf{Hosted file}

\verb`p-th mean pseudo almost automorphic_2.tex`  available at \url{https://authorea.com/users/413828/articles/643778-p-th-mean-pseudo-almost-automorphic-solutions-of-class-r-under-the-light-of-measure-theory}

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