Nonoscillatory solutions of third order difference equations

Popenda, J.; Schmeidel, E.

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In this paper the authors give necessary and sufficient conditions for the oscillation of solutions of nonlinear delay difference equations of Emden– Fowler type in the form $Δ^{2} y_{n - 1} + q_{n} y_{σ (n)}^{γ} = g_{n}$ , where $γ$ is a quotient of odd positive integers, in the superlinear case $(γ > 1)$ and in the sublinear case $(γ < 1)$ .