Improved oscillation conditions for third-order neutral type difference equations
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In this article, we study the oscillatory behavior of the third-order neutral type difference equation
∆(αn(∆2(xn + pnxn-k))α) + qnƒ(xn-l) = 0
where α > 0, αn > 0, qn ≥ 0 and 0 ≤ pn ≤ p < ∞. By using generalized Ricatti type transformation we present some new criteria which ensure that every solution is oscillatory. Also we provide examples that illustrate the importance of our results.
CitationSelvarangam, S., Madhan, M., Thandapani, E., & Pinelas, S. (2017). Improved oscillation conditions for third-order neutral type difference equations. Electronic Journal of Differential Equations, 2017(90), pp. 1-13.
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