TY - Type of reference TI - [FORTHCOMING] 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 - 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 - LA - fr PB - ISTE OpenScience DA - 2023/03/15 SN - 1869-6090 TT - [FORTHCOMING] Weyl almost automorphic functions and applications UR - https://www.openscience.fr/Les-fonctions-de-Weyl-presque-automorphes-et-applications IS - À paraître
VL - 13 ER -