Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On the recursive sequence xn+1 = α + βx n-k/f(xn, ..., xn-k+1) | Journal: | Taiwanese Journal of Mathematics | Volume: | 9 | Issue: | 4 | First page: | 583 | Last page: | 593 | Issue Date: | 1-Jan-2005 | Rank: | M23 | ISSN: | 1027-5487 | DOI: | 10.11650/twjm/1500407884 | Abstract: | The boundedness, the oscillatory behavior and the global stability of the nonnegative solutions of the difference equation xn+1 = α + βxn-k/f(xn, ..., xn-k+1) is investigated, where k ∈ N, the parameters α and β are nonnegative real numbers and f : R+k → R+ is a continuous function nondecreasing in each variable such that f(0, ..., 0) > 0. |
Keywords: | Boundedness | Converge | Difference equation | Global stability | Oscillation | Positive solution | Publisher: | Mathematical Society of the Republic of China |
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