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

Ethiraju Thandapani; R. Arul — 1999

Czechoslovak Mathematical Journal

The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form $Δ (a_{n} Δ^{m - 1} y_{n}) + p_{n} Δ^{m - 1} y_{n} + q_{n} f (y_{σ (n + m - 1)}) = 0$ where $m$ is even, is studied. Examples are included to illustrate the results.

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