Mathématiques > Accueil > Avancées en Mathématiques Pures et Appliquées > Numéro 4 (Septembre 2023) > Article
M. Kostić
University of Novi Sad
Serbia
Publié le 8 septembre 2023 DOI : 10.21494/ISTE.OP.2023.0998
In this paper, we reconsider the notion of a Weyl p-almost automorphic function introduced by S. Abbas [1] in 2012 and propose several new ways for introduction of the class of Weyl p-almost automorphic functions (1 ⩽ p < ∞). We first analyze the introduced classes of Weyl p-almost automorphic functions of type 1, jointly Weyl p-almost automorphic functions and Weyl p-almost automorphic functions of type 2 in the one-dimensional setting. After that, we introduce and analyze generalizations of these classes in the multi-dimensional setting, working with general Lebesgue spaces with variable exponents. We provide several illustrative examples and applications to the abstract Volterra integro-differential equations.
In this paper, we reconsider the notion of a Weyl p-almost automorphic function introduced by S. Abbas [1] in 2012 and propose several new ways for introduction of the class of Weyl p-almost automorphic functions (1 ⩽ p < ∞). We first analyze the introduced classes of Weyl p-almost automorphic functions of type 1, jointly Weyl p-almost automorphic functions and Weyl p-almost automorphic functions of type 2 in the one-dimensional setting. After that, we introduce and analyze generalizations of these classes in the multi-dimensional setting, working with general Lebesgue spaces with variable exponents. We provide several illustrative examples and applications to the abstract Volterra integro-differential equations.
Weyl almost automorphic functions Weyl almost periodic functions double sequences Lebesgue spaces with variable exponents abstract Volterra integro-differential equations
Weyl almost automorphic functions Weyl almost periodic functions double sequences Lebesgue spaces with variable exponents abstract Volterra integro-differential equations