TITLE:
Discrete Pseudo Almost Periodic Solutions for Some Difference Equations
AUTHORS:
Elhadi Ait Dads, Khalil Ezzinbi, Lahcen Lhachimi
KEYWORDS:
Difference Equations, Pseudo Almost Periodic Sequences, Schift Operator
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
22,
2011
ABSTRACT: In this work, we study the existence and uniqueness of pseudo almost periodic solutions for some difference equations. Firstly, we investigate the spectrum of the shift operator on the space of pseudo almost periodic sequences to show the main results of this work. For the illustration, some applications are provided for a second order differential equation with piecewise constant arguments.