Asymptotically Almost Periodic Generalized Ultradistributions and Application

Abstract

The paper aims to introduce and study an algebra of asymptotically almost periodic generalized ultradistributions. These generalized ultradistributions contain asymptotically almost periodic ultradistributions and asymptotically almost periodic generalized functions. The definition and main properties of these generalized ultradistributions are studied. An application to difference differential systems is given.

Keywords

• asymptotic almost periodicity
• ultradistributions
• generalized functions
• asymptotically almost periodic generalized ultradistributions
• difference differential equations