Titre : Weyl almost automorphic functions and applications 

Auteurs : M. Kostić,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Issue 4 (September 2023) 

Volume : 14 

Date : 2023/09/8 

DOI : 10.21494/ISTE.OP.2023.0998 

ISSN : 1869-6090 

Résumé : 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. 

Éditeur : ISTE OpenScience