We study discrete almost automorphic functions (sequences) defined on the set of integers
with values in a Banach space. Given a bounded linear operator defined on and a discrete …

In this paper, we analyze the Bohr ρ-almost periodic type sequences and the generalized ρ-
almost periodic type sequences of the form F: I× X→ Y, where∅≠ I⊆ Z n, X and Y are …

We define almost periodic sequences with values in a pseudometric space X and we modify
the Bochner definition of almost periodicity so that it remains equivalent with the Bohr …

We analyse almost periodic homogeneous linear difference systems whose coefficient
matrices belong to the so-called transformable groups. We introduce the notion of weakly …

Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations
with Finite Delay Page 1 Hindawi Publishing Corporation Advances in Difference Equations …

Almost periodic homogeneous linear difference systems are considered. It is supposed that
the coefficient matrices belong to a group. The aim was to find such groups that the systems …

In this paper, we introduce the notions of the almost anti-periodic discrete process of the N-
dimensional vector-valued and N× N matrix-valued functions. Some basic properties of the …

We study limit periodic homogeneous linear difference systems, where the coefficient
matrices belong to a bounded group. We find groups of matrices with the property that the …

This work deal with asymptotic almost-periodicity of mild solutions for a class of difference
equations with a Weyl-like fractional difference in Banach space. Based on a combination of …

This paper is concentrated on a class of difference equations with a Weyl-like fractional
difference in a Banach space X forms like△ α x (n)= A x (n+ 1)+ F (n, x (n)), n∈ Z,\triangle^ α …