On oscillatory nonlinear fourth-order difference equations with delays. (English) Zbl 06861590

Tripathy, Arun K.

Math. Bohem. 143, No. 1, 25-40 (2018).

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

Keywords:

oscillation; nonlinear; delay; neutral functional difference equation