| Title:
|
Generalized $c$-almost periodic type functions in ${\mathbb{R}}^{n}$ (English) |
| Author:
|
Kostić, M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
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0044-8753 (print) |
| ISSN:
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1212-5059 (online) |
| Volume:
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57 |
| Issue:
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4 |
| Year:
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2021 |
| Pages:
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221-253 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we analyze multi-dimensional quasi-asymptotically $c$-almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl $c$-almost periodic type functions. We also analyze several important subclasses of the class of multi-dimensional quasi-asymptotically $c$-almost periodic functions and reconsider the notion of semi-$c$-periodicity in the multi-dimensional setting, working in the general framework of Lebesgue spaces with variable exponent. We provide certain applications of our results to the abstract Volterra integro-differential equations in Banach spaces. (English) |
| Keyword:
|
quasi-asymptotically $c$-almost periodic type functions |
| Keyword:
|
$(S,{\mathbb{D}})$-asymptotically $(\omega ,c)$-periodic type functions |
| Keyword:
|
$S$-asymptotically $(\omega _{j},c_{j},{\mathbb{D}}_{j})_{j\in {\mathbb{N}}_{n}}$-periodic type functions |
| Keyword:
|
semi-$(c_{j})_{j\in {\mathbb{N}}_{n}}$-periodic type functions |
| Keyword:
|
Weyl $c$-almost periodic type functions |
| Keyword:
|
abstract Volterra integro-differential equations |
| MSC:
|
42A75 |
| MSC:
|
43A60 |
| MSC:
|
47D99 |
| idZBL:
|
Zbl 07442413 |
| idMR:
|
MR4346112 |
| DOI:
|
10.5817/AM2021-4-221 |
| . |
| Date available:
|
2021-10-06T08:56:19Z |
| Last updated:
|
2022-02-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149131 |
| . |
| Reference:
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