On the oscillation of Volterra summation equations

Ethiraju Thandapani; K. Ravi

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Displaying similar documents to “On the oscillation of Volterra summation equations”

Volterra summation equations and second order difference equations

Jarosław Morchało (2010)

Mathematica Bohemica

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

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 of certain difference equations

Said R. Grace (2000)

Czechoslovak Mathematical Journal

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Some new criteria for the oscillation of difference equations of the form $Δ^{2} x_{n} - p_{n} Δ x_{n - h} + q_{n} {| x_{g_{n}} |}^{c} s g n x_{g_{n}} = 0$ and $Δ^{i} x_{n} + p_{n} Δ^{i - 1} x_{n - h} + q_{n} {| x_{g_{n}} |}^{c} s g n x_{g_{n}} = 0, i = 2, 3,$ are established.