# American Institute of Mathematical Sciences

January  2018, 23(1): 253-261. doi: 10.3934/dcdsb.2018017

## Monotonic solutions of a higher-order neutral difference system

 1 Institute of Mathematics, University of Białystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland 2 Institute of Mathematics, Lodz University of Technology, Wolczanska 215, 90-924 Lodz, Poland

* Corresponding author: Robert Jankowski

Received  August 2016 Revised  December 2016 Published  January 2018

A class of a higher-order nonlinear difference system with delayed arguments where the first equation of the system is of a neutral type is considered. A classification of non-oscillatory solutions is given and results on their boundedness or unboundedness are derived. The obtained results are illustrated by examples.

Citation: Robert Jankowski, Barbara Łupińska, Magdalena Nockowska-Rosiak, Ewa Schmeidel. Monotonic solutions of a higher-order neutral difference system. Discrete & Continuous Dynamical Systems - B, 2018, 23 (1) : 253-261. doi: 10.3934/dcdsb.2018017
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