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