On a difference equation with 3-periodic coefficient. (English) Zbl 1086.39011

Papaschinopoulos, G.; Schinas, C. J.; Stefanidou, G.

J. Difference Equ. Appl. 11, No. 15, 1281-1287 (2005).

Let \((p_n)\) be a positive sequence of period 3. The authors study the periodicity, the boundedness and the asymptotic behavior of the positive solutions of the non-autonomous difference equation \[ x_{n+1} = p_n + {x_{n-1} \over x_n}, \quad n=0, 1, \dots. \] They find a new condition for the global attractivity result proved by R. Devault, V. L. Kocic and D. Stutson [J. Difference Equ. Appl. 11, No. 8, 707–719 (2005; Zbl 1079.39005)].

Reviewer: Bogdan Sasu (Timişoara)

MSC:

39A11	Stability of difference equations (MSC2000)
39A20	Multiplicative and other generalized difference equations

Keywords:

rational difference equation; asymptotic behavior; periodic solution; bounded solution; global attractivity

Citations:

Zbl 1079.39005

References:

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