Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations
| Autor: | Khalil Ezzinbi, Fritz Mbounja Béssémè, Samir Fatajou, Duplex Elvis Houpa Danga, David Békollé |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
µ-ergodic Numerical Analysis Pure mathematics integral equations µ-pseudo almost periodic functions evolution equations Applied Mathematics 37a30 reaction-diffusion systems µ-pseudo almost automorphic functions 34c27 Automorphic function Integral equation 35b15 measure theory 34k14 partial functional differential equations 35k57 QA1-939 Analysis Mathematics |
| Zdroj: | Nonautonomous Dynamical Systems, Vol 7, Iss 1, Pp 32-52 (2020) |
| ISSN: | 2353-0626 |
| Popis: | 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 ∈ L 1(). These results establish sufficient assumptions on k and the measure µ. As a consequence, we investigate the existence and uniqueness of µ-pseudo almost periodic solutions and µ-pseudo almost automorphic solutions for some abstract integral equations, evolution equations and partial functional differential equations. |
| Databáze: | OpenAIRE |
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