Improved oscillation conditions for third-order neutral type difference equations

In this article, we study the oscillatory behavior of the third-order neutral type difference equation $$ \Delta(a_n(\Delta^2(x_n+p_nx_{n-k}))^{\alpha})+q_nf(x_{n-l})=0 $$ where $\alpha>0$, $a_n>0$, $q_n\geq 0$ and $0\leq p_n\leq p<\infty$. By using generalized Ricatti type transform...

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Bibliographic Details
Main Authors: Srinivasan Selvarangam, Mayakrishnan Madhan, Ethiraju Thandapani, Sandra Pinelas
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/90/abstr.html