Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On the difference equation x n = x n-k/b+cx n-1 ⋯ x n-k | Journal: | Applied Mathematics and Computation | Volume: | 218 | Issue: | 11 | First page: | 6291 | Last page: | 6296 | Issue Date: | 5-Feb-2012 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2011.11.107 | Abstract: | We describe the behavior of well-defined solutions of the difference equationx n=x n-kb+cx n-1⋯x n-k,n∈N 0,where k∈ℕ, parameters b, c and the initial values x -k,⋯, x -1) are real numbers. These results, among others, improve and extend our results in [S. Stević, More on a rational recurrence relation, Appl. Math. E-Notes 4 (2004) 80-85]. |
Keywords: | Difference equation | Explicit solution | Periodic solutions | Publisher: | Elsevier |
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