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 |
Show full item record
SCOPUSTM
Citations
6
checked on Nov 11, 2024
Page view(s)
15
checked on Nov 11, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.