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On oscillatory nonlinear fourth-order difference equations with delays. (English) Zbl 06861590
Summary: In this work, oscillatory behaviour of solutions of a class of fourth-order neutral functional difference equations of the form \[ \Delta ^2(r(n)\Delta ^2(y(n)+p(n)y(n-m)))+q(n)G(y(n-k))=0 \] is studied under the assumption \[ \sum_{n=0}^{\infty}\frac{n}{r(n)}<\infty.\] New oscillation criteria have been established which generalize some of the existing results in the literature.

MSC:
39A10 Additive difference equations
39A12 Discrete version of topics in analysis
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