ALMOST AUTOMORPHIC COLOMBEAU GENERALIZED ULTRADISTRIBUTIONS AND LINEAR ORDINARY DIFFERENTIAL SYSTEMS

Fethia OUIKENE

Abstract


The aim of this work is to introduce and to study the concept of almost
automorphy in the setting of generalized ultradistributions. Such
generalized ultradistributions contain their analogue of almost automorphic
ultraditributions and generalized functions. A result on the existence of
almost automorphic ultradistributional solutions of a linear ordinary
differential systems is given.


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