Oscillatory and Asymptotic Behaviour of Some Difference Equations

A. Sternal; Z. Szafranski; B. Szmanda

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Displaying similar documents to “Oscillatory and Asymptotic Behaviour of Some Difference Equations”

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

Ethiraju Thandapani, R. Arul (1999)

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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.

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Jarosław Morchało (2010)

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The asymptotic and oscillatory behavior of solutions of Volterra summation equation and second order linear difference equation are studied.

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

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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.

Oscillation criteria for second order non-linear difference equations

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

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On the oscillation of Volterra summation equations

Ethiraju Thandapani, K. Ravi (2001)

Mathematica Bohemica

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The asymptotic and oscillatory behavior of solutions of Volterra summation equations $y_{n} = p_{n} \pm \sum_{s = 0}^{n - 1} K (n, s) f (s, y_{s}), n \in ℕ$ where $ℕ = {0, 1, 2, \dots}$ , are studied. Examples are included to illustrate the results.