Discrete Pseudo Almost Periodic Solutions for Some Difference Equations

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.

Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations

“…Eq., 30 (2017), pp. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] of the most attractive topics in qualitative theory of differential equations due to possible applications. Some contributions on weighted pseudo-almost periodic functions, their extensions, and their applications to differential equations have recently been made, among them are for instance [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the references therein.…”