Geodesic
Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 149-161.

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The asymptotic and oscillatory behavior of solutions of mth 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.
Classification : 39A11, 39A12
Keywords: higher order difference equation; oscillation 
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     title = {Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations},
     journal = {Czechoslovak Mathematical Journal},
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Thandapani, E.; Arul, R. Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 149-161. http://geodesic.mathdoc.fr/item/CMJ_1999__49_1_a14/