Geodesic
Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations
Mathematica Bohemica, Tome 148 (2023) no. 1, pp. 35-47

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We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation $$ D_3y(n)+f(n)y^\beta (\sigma (n))=0, $$ where $D_3 y(n)=\Delta (b(n)\Delta (a(n)(\Delta y(n))^\alpha ))$ is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.
DOI : 10.21136/MB.2022.0036-21
Classification : 39A10
Keywords: semi-noncanonical operator; third-order; delay difference equation; oscillation 
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Ayyappan, Govindasamy; Chatzarakis, George E.; Kumar, Thaniarasu; Thandapani, Ethiraj. Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations. Mathematica Bohemica, Tome 148 (2023) no. 1, pp. 35-47. doi: 10.21136/MB.2022.0036-21

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