TY - Type of reference TI - Metrical Weyl almost automorphy and applications AU - S. Abbas AU - M. Kostić AB - In this paper, we reconsider and slightly generalize various classes of Weyl almost automorphic functions ([29], [33]). More precisely, we consider here various classes of metrically Weyl almost automorphic functions of the form $$$F : {\mathbb R}^{n} \times X \rightarrow Y$$$ and metrically Weyl almost automorphic sequences of the form $$$F : {\mathbb Z}^{n} \times X \rightarrow Y$$$, where $$$X$$$ and $$$Y$$$ are complex Banach spaces. The main structural characterizations for the introduced classes of metrically Weyl almost automorphic functions and sequences are established. In addition to the above, we provide several illustrative examples, useful remarks and applications of the theoretical results. DO - 10.21494/ISTE.OP.2025.1260 JF - Advances in Pure and Applied Mathematics KW - Metrically Weyl almost automorphic functions, metrically Weyl almost automorphic sequences, abstract Volterra integro-differential equations, abstract Volterra difference equations, Metrically Weyl almost automorphic functions, metrically Weyl almost automorphic sequences, abstract Volterra integro-differential equations, abstract Volterra difference equations, L1 - https://openscience.fr/IMG/pdf/iste_apam25v16n2_2.pdf LA - en PB - ISTE OpenScience DA - 2025/03/20 SN - 1869-6090 TT - Métrique de Weyl presque automorphe et applications UR - https://openscience.fr/Metrical-Weyl-almost-automorphy-and-applications IS - Issue 2 (March 2025) VL - 16 ER -