TY - Type of reference TI - Les fonctions de Weyl presque automorphes et applications AU - M. Kostić AB - 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. DO - 10.21494/ISTE.OP.2023.0998 JF - Avancées en Mathématiques Pures et Appliquées KW - 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, L1 - https://www.openscience.fr/IMG/pdf/iste_apam23v14n4_1.pdf LA - fr PB - ISTE OpenScience DA - 2023/09/8 SN - 1869-6090 TT - Weyl almost automorphic functions and applications UR - https://www.openscience.fr/Les-fonctions-de-Weyl-presque-automorphes-et-applications IS - Numéro 4 (Septembre 2023) VL - 14 ER -