Geodesic
Stepanov multi-dimensional almost periodic functions and applications
Filomat, Tome 37 (2023) no. 12, p. 3681

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DOI

In this paper, we analyze several various classes of Stepanov multi-dimensional almost periodic functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not considered elsewhere even in the case that the exponent p(·) has a constant value. We provide certain applications to the abstract (degenerate) Volterra integro-differential equations in Banach spaces.
DOI : 10.2298/FIL2312681C
Classification : 42A75, 43A60, 47D99
Keywords: Stepanov multi-dimensional almost periodic type functions, Lebesgue spaces with variable exponents, abstract Volterra integro-differential equations 
Alan Chávez; Kamal Khalil; Marko Kostić; Manuel Pinto. Stepanov multi-dimensional almost periodic functions and applications. Filomat, Tome 37 (2023) no. 12, p. 3681 . doi: 10.2298/FIL2312681C
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     author = {Alan Ch\'avez and Kamal Khalil and Marko Kosti\'c and Manuel Pinto},
     title = {Stepanov multi-dimensional almost periodic functions and applications},
     journal = {Filomat},
     pages = {3681 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312681C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312681C/}
}
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