N-semigroup for invariant under translations time scales and abstract weighted pseudo almost periodic functions with applications

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Abstract

In this paper, we introduce and discuss the concept of a II-semigroup for invariant under translations time scales and the concept of abstract weighted pseudo almost periodic functions in Banach spaces. As an application, we obtain conditions for the existence of weighted pseudo almost periodic solutions for a class of neutral functional differential equations on time scales.

Original languageEnglish
Pages (from-to)1-28
Number of pages28
JournalDynamic Systems and Applications
Volume25
Issue number1-2
Publication statusPublished - 1 Mar 2016

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