Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 2 (March 2025) > Article
S. Abbas
Indian Institute of Technology Mandi
India
M. Kostić
University of Novi Sad
Serbia
Published on 20 March 2025 DOI : 10.21494/ISTE.OP.2025.1260
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.
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.
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