Oscillation and nonoscillation of second order neutral delay difference equations

Ethiraju Thandapani; K. Mahalingam

Displaying similar documents to “Oscillation and nonoscillation of second order neutral delay difference equations”

Oscillation and asymptotic behavior of second order difference equations with nonlinear neutral terms.

Thandapani, Ethiraju, Liu, Zhaoshuang, Arul, Ramalingam, Raja, Palanisamy S. (2004)

Applied Mathematics E-Notes [electronic only]

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Oscillation of forced nonlinear neutral delay difference equations of first order

N. Parhi, Arun Kumar Tripathy (2003)

Czechoslovak Mathematical Journal

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Necessary and sufficient conditions are obtained for every solution of $Δ (y_{n} + p_{n} y_{n - m}) \pm q_{n} G (y_{n - k}) = f_{n}$ to oscillate or tend to zero as $n \to \infty$ , where $p_{n}$ , $q_{n}$ and $f_{n}$ are sequences of real numbers such that $q_{n} \geq 0$ . Different ranges for $p_{n}$ are considered.

Oscillatory and asymptotic behaviour of perturbed quasilinear second order difference equations

Ethiraju Thandapani, L. Ramuppillai (1998)

Archivum Mathematicum

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This paper deals with oscillatory and asymptotic behaviour of solutions of second order quasilinear difference equation of the form $Δ (a_{n - 1} | Δ y_{n - 1} |^{α - 1} Δ y_{n - 1}) + F (n, y_{n}) = G (n, y_{n}, Δ y_{n}), n \in N (n_{0}) (E)$ where $α > 0$ . Some sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) are also considered.