Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a system of difference equations of odd order solvable in closed form
Journal: Applied Mathematics and Computation
Volume: 219
Issue: 15
First page: 8222
Last page: 8230
Issue Date: 2-Apr-2013
Rank: M21
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.02.049
Abstract: 
It is shown that the next system of difference equationsxn= cnyn-(2k-1)an+bnyn- (2k-1)∏i=1k-1yn-(2i-1)xn-2i, yn=γnxn-(2k-1)αn+ βnxn-(2k-1)∏i=1k-1xn-(2i-1)yn- 2in∈N0, where an,bn, cn,αn,βn,γn, n∈N0, and initial values x-i,y-i, i∈{1,2,...,2k-1} are real numbers, is solved in closed form, and the behavior of its well-defined solutions when all the coefficients in the system are constant is described.
Keywords: Asymptotic behavior | Closed form solution | Keywords | Periodic solutions | System of difference equations
Publisher: Elsevier

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