Square-mean pseudo almost automorphic solutions of infinite class under the light of measure theory

Issa ZABSONRE; Mohamado KIEMA

doi:10.26637/mjm11S/011

Abstract

The aim of this work is to present new concept of square-mean pseudo almost automorphic of infinite class using the measure theory. We use the (µ,ν)-ergodic process to define the spaces of (µ,ν)-pseudo almost automorphic processes of infinite class in the square-mean sense. We present many interesting results on those spaces like completeness and composition theorems and we study the existence and the uniqueness of the square-mean (µ,ν)-pseudo almost automorphic solutions of infinite class for of the stochastic evolution equation. We provide an example to illustrate ours results.

Keywords:

Almost automorphic solutions, Measure theory

Mathematics Subject Classification:

47D09, 34G10, 60J65

Authors Imprint References Funding Related Articles Downloads

Issa ZABSONRE Universit´ e Joseph KI-ZERBO, Unit´ e de Recherche et de Formation en Sciences Exactes et Appliqu´ ees, D´ epartement de Math´ ematiques B.P.7021 Ouagadougou 03, Burkina Faso https://orcid.org/0000-0002-2968-8481
Mohamado KIEMA Universit´ e Joseph KI-ZERBO, Unit´ e de Recherche et de Formation en Sciences Exactes et Appliqu´ ees, D´ epartement de Math´ ematiques B.P.7021 Ouagadougou 03, Burkina Faso

Pages: 166-196
Date Published: 01-10-2023
Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday

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