Abstract non-scalar Volterra difference equations of several variables
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 49 (2024), p. 19
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we analyze some classes of the abstract non-scalar Volterra difference equations depending of several variables. We introduce the notion of a discrete multi-dimensional $(k,C,B,(A_{i})_{1\leq i\leq n},({\rm v}_{i})_{1\leq i\leq n})$-existence family and the notion of a discrete $(k,C,B,(A_{i})_{1\leq i\leq m},({\rm v}_{i})_{1\leq i\leq m},{\mathcal I})$-existence family, providing also certain results about the existence and uniqueness of almost periodic type solutions to the abstract non-scalar Volterra difference equations of several variables.
Classification :
439A05, 39A06, 39A24, 42A75, 47D99
Keywords: abstract non-scalar Volterra difference equations of several variables, multi-dimensional $(k;C;B;(A_{i})_{1\leq i\leq n};({\rm v}_{i})_{1\leq i\leq n})$-solution operator families, almost periodic type solutions
Keywords: abstract non-scalar Volterra difference equations of several variables, multi-dimensional $(k;C;B;(A_{i})_{1\leq i\leq n};({\rm v}_{i})_{1\leq i\leq n})$-solution operator families, almost periodic type solutions
Marko Kostić. Abstract non-scalar Volterra difference equations of several variables. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 49 (2024), p. 19 . http://geodesic.mathdoc.fr/item/BASS_2024_49_a2/
@article{BASS_2024_49_a2,
author = {Marko Kosti\'c},
title = {Abstract non-scalar {Volterra} difference equations of several variables},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {19 },
year = {2024},
volume = {49},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2024_49_a2/}
}
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