A NOTE ON FRACTIONAL DIFFERENCE EQUATIONS WITH PERIODIC AND S-ASYMPTOTICALLY PERIODIC RIGHT-HAND SIDES

We determine a decomposition of the solution of a fractional difference initial-value problem with periodic right-hand side. For problems with S-asymptotically N-periodic right-hand side, a sufficient condition is proved for the existence of an S-asymptotically N-periodic solution. Dedicated to the 60th birthday of Prof. Michal Feckan
1. Introduction In the present paper, we consider a fractional difference initial-value problem [Please download the PDF to view the formula] (1.1) with Caputo-like fractional difference operator [[DELTA].sup.[mu].sub.*] of order [...]