Multi-dimensional (ω, c)-almost periodic type functions and applications
In this paper, we analyze various classes of multi-dimensional (ω, c)-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 theor...
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-04-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2020-0130 |
| _version_ | 1828142119929249792 |
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| author | Kostić M. |
| author_facet | Kostić M. |
| author_sort | Kostić M. |
| collection | DOAJ |
| description | In this paper, we analyze various classes of multi-dimensional (ω, c)-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. |
| first_indexed | 2024-04-11T19:36:37Z |
| format | Article |
| id | doaj.art-c0b285b3b9404a2f82bdb12f716d0377 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-04-11T19:36:37Z |
| publishDate | 2021-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-c0b285b3b9404a2f82bdb12f716d03772022-12-22T04:06:51ZengDe GruyterNonautonomous Dynamical Systems2353-06262021-04-018113615110.1515/msds-2020-0130Multi-dimensional (ω, c)-almost periodic type functions and applicationsKostić M.0Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, SerbiaIn this paper, we analyze various classes of multi-dimensional (ω, c)-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.https://doi.org/10.1515/msds-2020-0130multi-dimensional (ω,c)-almost periodic functionsmulti-dimensional (ωj,cj)j∈ℕn-periodic functionsmulti-dimensional c-almost periodic functions(i′, a, ω, c)-almost periodic type functionsabstract volterra integro-differential equations42a7543a6047d99 |
| spellingShingle | Kostić M. Multi-dimensional (ω, c)-almost periodic type functions and applications Nonautonomous Dynamical Systems multi-dimensional (ω,c)-almost periodic functions multi-dimensional (ωj,cj)j∈ℕn-periodic functions multi-dimensional c-almost periodic functions (i′, a, ω, c)-almost periodic type functions abstract volterra integro-differential equations 42a75 43a60 47d99 |
| title | Multi-dimensional (ω, c)-almost periodic type functions and applications |
| title_full | Multi-dimensional (ω, c)-almost periodic type functions and applications |
| title_fullStr | Multi-dimensional (ω, c)-almost periodic type functions and applications |
| title_full_unstemmed | Multi-dimensional (ω, c)-almost periodic type functions and applications |
| title_short | Multi-dimensional (ω, c)-almost periodic type functions and applications |
| title_sort | multi dimensional ω c almost periodic type functions and applications |
| topic | multi-dimensional (ω,c)-almost periodic functions multi-dimensional (ωj,cj)j∈ℕn-periodic functions multi-dimensional c-almost periodic functions (i′, a, ω, c)-almost periodic type functions abstract volterra integro-differential equations 42a75 43a60 47d99 |
| url | https://doi.org/10.1515/msds-2020-0130 |
| work_keys_str_mv | AT kosticm multidimensionalōcalmostperiodictypefunctionsandapplications |