Sharp sufficient conditions for oscillation of second-order general noncanonical difference equations
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Abstract
We derive new oscillation conditions for the second-order noncanonical difference equation with deviating argument of the form
$$
\Delta\left(r(\xi)(\Delta x(\xi))^\gamma\right)+q(\xi) x^\delta(\xi+\kappa)=0 ; \quad \xi \geq \xi_0,
$$
where $\gamma$ and $\delta$ are quotients of odd positive integers and $\kappa$ is an integer. Examples are provided to illustrate our established results.
Keywords:
Oscillation, nonoscillation, second-order, canonical, noncanonical, delay, advanced, difference equationsMathematics Subject Classification:
Mathematics- Pages: 1141-1146
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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