Authors: Stević, Stevo 
Alghamdi, Mohammed
Alotaibi, Abdullah
Shahzad, Naseer
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a higher-order system of difference equations
Journal: Electronic Journal of Qualitative Theory of Differential Equations
Issue Date: 8-Aug-2013
Rank: M21
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.47
Here we study the following system of difference equations where f and g are increasing real functions such that f(0)= g(0) = 0, and coefficients an, bn, cn, an, αn, βn, γn n ε ℕ0, and initial values x-i, y-i, i ε {1, 2,..., 2k} are real numbers. We show that the system is solvable in closed form, and study asymptotic behavior of its solutions.
Keywords: Asymptotic behavior | Solvable system | System of difference equations
Publisher: Bolyai Institute, University of Szeged
Project: Deanship of Scientific Research (DSR), King Abdulaziz University, Grant No. (11-130/1433 HiCi).

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