Geodesic
On oscillatory nonlinear fourth-order difference equations with delays
Mathematica Bohemica, Tome 143 (2018) no. 1, pp. 25-40
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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.
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.
DOI : 10.21136/MB.2017.0018-16
Classification : 39A10, 39A12
Keywords: oscillation; nonlinear; delay; neutral functional difference equation 
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Tripathy, Arun K. On oscillatory nonlinear fourth-order difference equations with delays. Mathematica Bohemica, Tome 143 (2018) no. 1, pp. 25-40. doi: 10.21136/MB.2017.0018-16

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