Displaying similar documents to “Remark concerning oscillatory properties of solutions of a certain nonlinear equation of the third order”

On a perturbed nonlinear third order differential equation

Michal Greguš (1997)

Archivum Mathematicum

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In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].

The oscillation of an m th order perturbed nonlinear difference equation

Patricia J. Y. Wong, Ravi P. Agarwal (1996)

Archivum Mathematicum

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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.