Asymptotic almost automorphy for algebras of generalized functions

TL;DR

This paper introduces and studies asymptotic almost automorphy within algebras of generalized functions, providing theoretical foundations and applications to neutral difference differential systems.

Contribution

It develops the concept of asymptotic almost automorphy in generalized function algebras and applies it to analyze neutral difference differential systems.

Findings

Established the concept of asymptotic almost automorphy in generalized functions

Applied the theory to neutral difference differential systems

Provided new tools for analyzing complex differential systems

Abstract

Asymptotic almost automorphy is introduced and studied in the context of some algebras of generalized functions. We also give applications to neutral difference differential systems in the framework of such generalized functions.