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On oscillatory nonlinear fourth-order difference equations with delays

Arun K. Tripathy

Received February 6, 2016.   First published May 19, 2017.

Abstract: In this work, oscillatory behaviour of solutions of a class of fourth-order neutral functional difference equations of the form \begin{equation*} \Delta^2(r(n)\Delta^2(y(n)+p(n)y(n-m)))+ q(n)G(y(n-k))=0 \end{equation*} is studied under the assumption \begin{equation*} \sum_{n=0}^{\infty}\frac{n}{r(n)}< \infty. \end{equation*} New oscillation criteria have been established which generalize some of the existing results in the literature.

Keywords: oscillation; nonlinear; delay; neutral functional difference equation

Classification (MSC 2010): 39A10, 39A12

DOI: 10.21136/MB.2017.0018-16

Full text available as PDF.

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