Oscillatory and asymptotic behavior of solutions to higher order damped nonlinear difference equations.

*(English)*Zbl 0954.39002Summary: The asymptotic and oscillatory behavior of solutions of \(m\)th order damped nonlinear difference equation of the form
\[
\Delta (a_n \Delta ^{m-1} y_n) + p_n \Delta ^{m-1} y_n + q_n f(y_{\sigma (n+m-1)}) = 0
\]
where \(m\) is even, is studied. Examples are included to illustrate the results.

##### MSC:

39A11 | Stability of difference equations (MSC2000) |

##### Keywords:

higher order difference equation; asymptotic and oscillatory behavior; damped nonlinear difference equation
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\textit{E. Thandapani} and \textit{R. Arul}, Czech. Math. J. 49, No. 1, 149--161 (1999; Zbl 0954.39002)

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##### References:

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