Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations

Govindasamy Ayyappan; George E. Chatzarakis; Thaniarasu Kumar; Ethiraj Thandapani

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 1, page 35-47
  • ISSN: 0862-7959

Abstract

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We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D 3 y ( n ) + f ( n ) y β ( σ ( n ) ) = 0 , where D 3 y ( n ) = Δ ( b ( n ) Δ ( a ( n ) ( Δ y ( n ) ) α ) ) 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.

How to cite

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Ayyappan, Govindasamy, et al. "Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations." Mathematica Bohemica 148.1 (2023): 35-47. <http://eudml.org/doc/299411>.

@article{Ayyappan2023,
abstract = {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.},
author = {Ayyappan, Govindasamy, Chatzarakis, George E., Kumar, Thaniarasu, Thandapani, Ethiraj},
journal = {Mathematica Bohemica},
keywords = {semi-noncanonical operator; third-order; delay difference equation; oscillation},
language = {eng},
number = {1},
pages = {35-47},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations},
url = {http://eudml.org/doc/299411},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Ayyappan, Govindasamy
AU - Chatzarakis, George E.
AU - Kumar, Thaniarasu
AU - Thandapani, Ethiraj
TI - Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 1
SP - 35
EP - 47
AB - 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.
LA - eng
KW - semi-noncanonical operator; third-order; delay difference equation; oscillation
UR - http://eudml.org/doc/299411
ER -

References

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