Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one. Then, we establish many interesting results on the space of such functi...

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Bibliographic Details
Main Authors: Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain
Format: Article
Language:English
Published: De Gruyter 2024-11-01
Series:Nonautonomous Dynamical Systems
Subjects:
measure theory
ergodicity
(μ, ν)-seudo-almost automorphic function
infinite delay
evolution equations
reaction–diffusion system
partial functional differential equations
34k14
34k30
35b15
35k57
44a35
47d06
Online Access:https://doi.org/10.1515/msds-2024-0003
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https://doi.org/10.1515/msds-2024-0003

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