On the existence of solutions of some second order nonlinear difference equations

Małgorzata Migda; Ewa Schmeidel; Małgorzata Zbąszyniak

Displaying similar documents to “On the existence of solutions of some second order nonlinear difference equations”

On a class of fourth-order nonlinear difference equations.

Migda, Małgorzata, Musielak, Anna, Schmeidel, Ewa (2004)

Advances in Difference Equations [electronic only]

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Oscillation and nonoscillation of second order neutral delay difference equations

Ethiraju Thandapani, K. Mahalingam (2003)

Czechoslovak Mathematical Journal

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Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation $Δ (c_{n} Δ (y_{n} + p_{n} y_{n - k})) + q_{n} y_{n + 1 - m}^{β} = 0, n \geq n_{0}$ where $k$ , $m$ are positive integers and $β$ is a ratio of odd positive integers are established, under the condition $\sum_{n = n_{0}}^{\infty} \frac{1}{c_{n}} < \infty .$

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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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.