Π-SEMIGROUP FOR INVARIANT UNDER TRANSLATIONS TIME SCALES AND ABSTRACT WEIGHTED PSEUDO ALMOST PERIODIC FUNCTIONS WITH APPLICATIONS

TitleΠ-SEMIGROUP FOR INVARIANT UNDER TRANSLATIONS TIME SCALES AND ABSTRACT WEIGHTED PSEUDO ALMOST PERIODIC FUNCTIONS WITH APPLICATIONS
Publication TypeJournal Article
Year of Publication2016
AuthorsWANG CHAO, AGARWAL RAVIP, O’REGAN DONAL
Abstract

In this paper, we introduce and discuss the concept of a Π-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