Global attractivity and oscillation in a nonlinear periodic delay difference equation. (English) Zbl 1050.39004
The authors investigate the periodic logistic delay difference equation of the form
\[
x_{n+1} = x_{n}\exp[a_n + b_nx^p_{n -m\omega} - c_nx^q_{n-m\omega}], \quad n = 1,\ldots.
\]
Sufficient conditions of the global attractivity and oscillation about the periodic solution are obtained.
Reviewer: Marat Akhmet (Ankara)
MSC:
| 39A11 | Stability of difference equations (MSC2000) |
Keywords:
discrete equations; periodic solutions; global attractivity; oscillations; periodic logistic delay difference equationReferences:
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