Oscillation criteria for second order non-linear difference equations

Blażej Szmanda

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Displaying similar documents to “Oscillation criteria for second order non-linear difference equations”

On oscillation of second order linear difference equations with deviated arguments.

Koplatadze, R., Kvinikadze, G. (1997)

Memoirs on Differential Equations and Mathematical Physics

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Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations

Ethiraju Thandapani, R. Arul (1999)

Czechoslovak Mathematical Journal

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The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form $Δ (a_{n} Δ^{m - 1} y_{n}) + p_{n} Δ^{m - 1} y_{n} + q_{n} f (y_{σ (n + m - 1)}) = 0$ where $m$ is even, is studied. Examples are included to illustrate the results.

Oscillation criteria for first-order forced nonlinear difference equations.

Agarwal, Ravi P., Grace, Said R., Smith, Tim (2006)

Advances in Difference Equations [electronic only]

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On the oscillation of certain third-order difference equations.

Agarwal, Ravi P., Grace, Said R., O'Regan, Donal (2005)

Advances in Difference Equations [electronic only]

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Oscillations of nonlinear difference equations with deviating arguments

George E. Chatzarakis, Julio G. Dix (2018)

Mathematica Bohemica

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This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

Oscillation Of solutions Of Second Order Difference Equations

B. Szmanda (1980)

Publications de l'Institut Mathématique

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Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term

Bing Gen Zhang, Y. J. Sun (2001)

Mathematica Bohemica

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In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation $Δ (x_{n} - p_{n} x_{τ (n)}) + f (n, x_{σ (n)}) = q_{n}$ are obtained. Examples are included to illustrate the results.