The Periodicity of Positive Solutions of the Nonlinear Difference Equation x<sub>n+1</sub> = α + (x<sub>n-k</sub><SUP>p</SUP>)/(x<sub>n</sub><SUP>q</SUP>)
Mehmet Gumus
article (Uluslararası, Hakemli) | Yazar(lar): Mehmet Gumus | Yıl: 2013 | Dergi/Kurum: DISCRETE DYNAMICS IN NATURE AND SOCIETY | İndeks: WOS.SCI | DOI: 10.1155/2013/742912 — Özet: We give a remark about the periodic character of positive solutions of the difference equation x(n+1) = alpha +x(n-k)(p)/x(n)(q), n = 0, 1, .
We give a remark about the periodic character of positive solutions of the difference equation x(n+1) = alpha +x(n-k)(p)/x(n)(q), n = 0, 1, ..., where k > 1 is an odd integer, alpha,p,q,epsilon (0,infinity), and the initial conditions x(-k), ... , x(0) are arbitrary positive numbers.