Mathematica Bohemica, Vol. 143, No. 1, pp. 25-40, 2018
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.
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Affiliations: Arun K. Tripathy, Department of Mathematics, Sambalpur University, Jyoti Vihar, Burla, Sambalpur, Odisha 768019, India, e-mail: arun_tripathy70@rediffmail.com
