Almost automorphic distributions

TL;DR

This paper explores the concept of almost automorphy in distributions, providing characterizations, properties, and conditions for the existence of almost automorphic solutions to linear difference-differential equations.

Contribution

It introduces the framework for almost automorphic distributions and analyzes their solutions in linear difference-differential equations, extending classical concepts.

Findings

Characterizations of almost automorphic distributions

Main properties of these distributions

Existence conditions for distributional solutions

Abstract

This work deals with almost automorphy of distributions. We give characterizations and main properties of these distributions. We also study the existence of distributional almost automorphic solutions of linear difference-differential equations.