Monotonic solutions of a higher-order neutral difference system

Robert Jankowski; Barbara Łupińska; Magdalena Nockowska-Rosiak; Ewa Schmeidel

doi:10.3934/dcdsb.2018017

Article Contents

2018, Volume 23, Issue 1: 253-261. Doi: 10.3934/dcdsb.2018017

This issue Previous Article Qualitative properties of solutions of higher order difference equations with deviating arguments Next Article Optimal control problem for a viscoelastic beam and its galerkin approximation

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
* Corresponding author: Robert Jankowski

Received: August 2016

Revised: December 2016

Published: November 2017

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Abstract

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.

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Mathematics Subject Classification: 39A10, 39A11.

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References

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