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Oscillation for a class of logistic equations. (English) Zbl 1018.39006

Comparison conditions for all positive solutions of the delay difference equation \[ {x_{n+1}=\frac{ax_{n}}{1+\beta x_{n-k}+\gamma x_{n-l}}} \] to oscillate about its positive equilibrium are obtained.

MSC:

39A11 Stability of difference equations (MSC2000)
39B05 General theory of functional equations and inequalities