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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