Authors: Stević, Stevo Iričanin, BratislavŠmarda, Zdeněk Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts Title: Boundedness character of a fourth-order system of difference equations Journal: Advances in Difference Equations Volume: 2015 Issue: 1 Issue Date: 1-Dec-2015 Rank: M22 ISSN: 1687-1847 DOI: 10.1186/s13662-015-0644-y Abstract: The boundedness character of positive solutions of the following system of difference equations: xn+1=A+ynpxn−3r$x_{n+1}=A+\frac{y^{p}_{n}}{x_{n-3}^{r}}$, yn+1=A+xnpyn−3r$y_{n+1}=A+\frac {x^{p}_{n}}{y_{n-3}^{r}}$, n∈N0$n\in{\mathbb{N}}_{0}$, when min{A,r}>0$\min\{A,r\}>0$ and p≥0$p\ge0$, is studied. Keywords: bounded solutions | positive solutions | system of difference equations | unbounded solutions Publisher: Springer Link Project: Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders  Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education  Physical and functional effects of radiation interaction with electrotechnical and biological systems  European Regional Development Fund, Project CZ.1.05/1.1.00/02.0068Brno University of Technology, Project FEKT-S-14-2200

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