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Pseudo almost periodic solutions of infinite class under the light of measure theory and applications
Author(s) -
Zabsonre Issa,
Votsia Djokata
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7051
Subject(s) - mathematics , uniqueness , banach space , measure (data warehouse) , class (philosophy) , mathematical analysis , almost periodic function , c0 semigroup , space (punctuation) , partial differential equation , pure mathematics , linguistics , philosophy , database , artificial intelligence , computer science
The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and uniqueness of ( μ , ν ) ‐pseudo almost periodic solutions of infinite class for some neutral partial functional differential equations in a Banach space when the delay is distributed on ] − ∞ , 0] .