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.
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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