Author:
E. Thandapani ,V. Balasubramanian
Abstract
In this paper some new sufficient conditions for the oscillatory behavior of second order nonlinear neutral type difference equation of the form$$\Delta\left(a_n \Delta\left(x_n+p_n x_{n-k}\right)\right)+q_n f\left(x_{\sigma(n+1)}\right)=0$$where $\left\{a_n\right\},\left\{p_n\right\}$ and $\left\{q_n\right\}$ are real sequences, $\{\sigma(n)\}$ is a sequence of integers, $k$ is a positive integer and $f: \mathbb{R} \rightarrow \mathbb{R}$ is continuous with $u f(u)>0$ for $u \neq 0$ are established. Examples are provided to illustrate the main results.
Subject
Geology,Ocean Engineering,Water Science and Technology
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