Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory

Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory

Using the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.

Bibliographic Details
Main Authors: Zabsonre Issa, Mbainadji Djendode
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Nonautonomous Dynamical Systems
Subjects:
measure theory
ergodicity
(μ, v)-pseudo almost automorphic function
evolution equations
reaction diffusion system
partial functional differential equations
Online Access:https://doi.org/10.1515/msds-2020-0112
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spelling doaj-1e6a1a5a8ed64f08a1d7a61e9eb30a3a2021-09-06T19:20:24ZengDe GruyterNonautonomous Dynamical Systems2353-06262020-08-01718110110.1515/msds-2020-0112msds-2020-0112Pseudo almost automorphic solutions of class r in α-norm under the light of measure theoryZabsonre Issa0Mbainadji Djendode1Université Joseph KI-ZERBO, Unité de Recherche et de Formation en Sciences Exactes et Appliquées, Département de Mathématiques, B.P.7021 Ouagadougou 03, Burkina FasoUniversité Joseph KI-ZERBO, Unité de Recherche et de Formation en Sciences Exactes et Appliquées, Département de Mathématiques, B.P.7021 Ouagadougou 03, Burkina FasoUsing the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.https://doi.org/10.1515/msds-2020-0112measure theoryergodicity(μ, v)-pseudo almost automorphic functionevolution equationsreaction diffusion systempartial functional differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Zabsonre Issa
Mbainadji Djendode
spellingShingle Zabsonre Issa
Mbainadji Djendode
Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
Nonautonomous Dynamical Systems
measure theory
ergodicity
(μ, v)-pseudo almost automorphic function
evolution equations
reaction diffusion system
partial functional differential equations
author_facet Zabsonre Issa
Mbainadji Djendode
author_sort Zabsonre Issa
title Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
title_short Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
title_full Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
title_fullStr Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
title_full_unstemmed Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
title_sort pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
publisher De Gruyter
series Nonautonomous Dynamical Systems
issn 2353-0626
publishDate 2020-08-01
description Using the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.
topic measure theory
ergodicity
(μ, v)-pseudo almost automorphic function
evolution equations
reaction diffusion system
partial functional differential equations
url https://doi.org/10.1515/msds-2020-0112
work_keys_str_mv AT zabsonreissa pseudoalmostautomorphicsolutionsofclassrinanormunderthelightofmeasuretheory
AT mbainadjidjendode pseudoalmostautomorphicsolutionsofclassrinanormunderthelightofmeasuretheory
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