Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations

Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations

The aim of this work is to give sufficient conditions ensuring that the space PAP(𝕉, X, µ) of µ-pseudo almost periodic functions and the space PAA(𝕉, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ∈ L1(𝕉). These results establish sufficient assum...

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Bibliographic Details
Main Authors: Béssémè Fritz Mbounja, Békollè David, Ezzinbi Khalil, Fatajou Samir, Danga Duplex Elvis Houpa
Format: Article
Language:English
Published: De Gruyter 2020-06-01
Series:Nonautonomous Dynamical Systems
Subjects:
measure theory
µ-ergodic
µ-pseudo almost periodic functions
µ-pseudo almost automorphic functions
integral equations
evolution equations
partial functional differential equations
reaction-diffusion systems
34c27
34k14
35b15
35k57
37a30
Online Access:https://doi.org/10.1515/msds-2020-0102

Internet

https://doi.org/10.1515/msds-2020-0102

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