Asymptotic almost automorphy for algebras of generalized functions
Chikh Bouzar, Meryem Slimani

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.
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Taxonomy
TopicsNumerical methods for differential equations · Advanced Control Systems Design · Nonlinear Differential Equations Analysis
