Some Notes on the Difference Equation <i>xn</i>+1 = α + (<i>xn</i>-1/x<sub>n</sub><SUP>k</SUP>)
Ozkan Ocalan, Mehmet Gumus
article (Uluslararası, Hakemli) | Yazar(lar): Ozkan Ocalan, Mehmet Gumus | Yıl: 2012 | Dergi/Kurum: DISCRETE DYNAMICS IN NATURE AND SOCIETY | İndeks: WOS.SCI | DOI: 10.1155/2012/258502 — Özet: We investigate the behavior of the solutions of the recursive sequence x(n+1) = alpha + x(n-1)/x(n)(k), n = 0,1,..., where alph
We investigate the behavior of the solutions of the recursive sequence x(n+1) = alpha + x(n-1)/x(n)(k), n = 0,1,..., where alpha is an element of [0,infinity), k is an element of (0,infinity), and the initial conditions x(-1), x(0) are arbitrary positive numbers. Included are results that considerably improve those in the recently published paper by Hamza and Morsy (2009).