Second order linear difference equations over discrete Hardy fields

A. Ramayyan; Ethiraju Thandapani

Displaying similar documents to “Second order linear difference equations over discrete Hardy fields”

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.

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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Boundedness and global attractivity of a higher-order nonlinear difference equation.

Jia, Xiu-Mei, Li, Wan-Tong (2010)

Discrete Dynamics in Nature and Society

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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 $\sum_{n = n_{0}}^{\infty} \frac{1}{c_{n}} < \infty .$

On a max-type difference equation.

Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2010)

Advances in Difference Equations [electronic only]

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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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An extension of the method of quasilinearization

Tadeusz Jankowski (2003)

Archivum Mathematicum

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The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.