Pseudo almost periodic solutions of infinite class under the light of measure theory and applications | Zendy

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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] .

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