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The oscillatory character of the recursive sequence $$x_{n+1}= \frac {\alpha+\beta x_{n-k+1}}{A+Bx_{n-2k+1}}$$. (English) Zbl 1094.39006
A difference equation in rational form and with positive parameters and initial conditions is considered. Conditions are given for the boundedness, oscillatory behavior and stability of the orbit of the difference equation.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A20 Multiplicative and other generalized difference equations, e.g., of Lyness type
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##### References:
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