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.

Representation of solutions of difference equations with continuous time.

Péics, Hajnalka (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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