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The oscillation of an m th order perturbed nonlinear difference equation

Patricia J. Y. WongRavi P. Agarwal — 1996

Archivum Mathematicum

We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation | Δ m y ( k ) | α - 1 Δ m y ( k ) + Q ( k , y ( k - σ k ) , Δ y ( k - σ k ) , , Δ m - 2 y ( k - σ k ) ) = P ( k , y ( k - σ k ) , Δ y ( k - σ k ) , , Δ m - 1 y ( k - σ k ) ) , k k 0 where α > 0 . Examples which dwell upon the importance of our results are also included.

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