On the recursive sequence \(x_{n+1}=\alpha + x_{n-1}/x_n\). (English) Zbl 1105.39008

A nonlinear difference equation having a ratio of two successive past values on the right hand side and with a negative coefficient and negative initial conditions is considered. Stability and periodic characteristics of the solutions are discussed.


39A11 Stability of difference equations (MSC2000)
39A20 Multiplicative and other generalized difference equations
Full Text: DOI


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