Geodesic
Generalized $c$-almost periodic type functions in ${\mathbb{R}}^{n}$
Archivum mathematicum, Tome 57 (2021) no. 4, pp. 221-253

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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.
DOI : 10.5817/AM2021-4-221
Classification : 42A75, 43A60, 47D99
Keywords: quasi-asymptotically $c$-almost periodic type functions; $(S, {\mathbb{D}})$-asymptotically $(\omega, c)$-periodic type functions; $S$-asymptotically $(\omega _{j}, c_{j}, {\mathbb{D}}_{j})_{j\in {\mathbb{N}}_{n}}$-periodic type functions; semi-$(c_{j})_{j\in {\mathbb{N}}_{n}}$-periodic type functions; Weyl $c$-almost periodic type functions; abstract Volterra integro-differential equations 
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     author = {Kosti\'c, M.},
     title = {Generalized $c$-almost periodic type functions in ${\mathbb{R}}^{n}$},
     journal = {Archivum mathematicum},
     pages = {221--253},
     publisher = {mathdoc},
     volume = {57},
     number = {4},
     year = {2021},
     doi = {10.5817/AM2021-4-221},
     mrnumber = {4346112},
     zbl = {07442413},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2021-4-221/}
}
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Kostić, M. Generalized $c$-almost periodic type functions in ${\mathbb{R}}^{n}$. Archivum mathematicum, Tome 57 (2021) no. 4, pp. 221-253. doi: 10.5817/AM2021-4-221

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