Multi-dimensional (ω, c)-almost periodic type functions and applications

In this paper, we analyze various classes of multi-dimensional ( , )-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented. We provide certain applications of our abstract theore...

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Bibliographic Details
Published inNonautonomous Dynamical Systems Vol. 8; no. 1; pp. 136 - 151
Main Author Kostić, M.
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2021
Subjects
(i′, a, ω, c)-almost periodic type functions
42A75
43A60
47D99
abstract Volterra integro-differential equations
almost periodic functions
almost periodic type functions
Multi-dimensional
multi-dimensional (ω,c)-almost periodic functions
multi-dimensional (ωj,cj)j∈ℕn-periodic functions
multi-dimensional c-almost periodic functions
periodic functions
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ISSN2353-0626
2353-0626
DOI10.1515/msds-2020-0130

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Summary:In this paper, we analyze various classes of multi-dimensional ( , )-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented. We provide certain applications of our abstract theoretical results to the abstract Volterra integro-differential equations, as well.
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2020-0130