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.
Reviewer: Ioannis P.Stavroulakis (Ioannina)
MSC:
39A11 | Stability of difference equations (MSC2000) |
39B05 | General theory of functional equations and inequalities |