Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a solvable system of difference equations of fourth order
Journal: Applied Mathematics and Computation
Volume: 219
Issue: 10
First page: 5706
Last page: 5716
Issue Date: 16-Jan-2013
Rank: M21
ISSN: 0096-3003
DOI: 10.1016/j.amc.2012.11.024
Abstract: 
The system of difference equationsxn=cnxn- 4an+bnyn-1xn-2yn- 3xn-4,yn=γnyn- 4αn+βnxn-1yn- 2xn-3yn-4,n∈N0, where the sequences an,bn,cn,αn, βn,γn,n∈N0, and initial values x-i,y-i,i∈{1,2,3,4} are real numbers, such that cn≠0,γn≠0,n∈N0, is solved in closed form, and based on the obtained formulae is studied the asymptotic behaviour of well-defined solutions of the system.
Keywords: Asymptotic behaviour | Periodicity | Solved in closed form | System of difference equations
Publisher: Elsevier

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