Oscillation theorems for third order nonlinear delay difference equations

Kumar S. Vidhyaa; Chinnappa Dharuman; Ethiraju Thandapani; Sandra Pinelas

Mathematica Bohemica (2019)

  • Volume: 144, Issue: 1, page 25-37
  • ISSN: 0862-7959

Abstract

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Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form Δ ( a n ( Δ ( b n ( Δ y n ) α ) ) ) + q n f ( y σ ( n ) ) = 0 to have property ( A ) or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.

How to cite

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Vidhyaa, Kumar S., et al. "Oscillation theorems for third order nonlinear delay difference equations." Mathematica Bohemica 144.1 (2019): 25-37. <http://eudml.org/doc/294592>.

@article{Vidhyaa2019,
abstract = {Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form \[ \Delta (a\_n(\Delta (b\_n(\Delta y\_n)^\{\alpha \})))+q\_nf(y\_\{\sigma (n)\})=0 \] to have property $\{(\rm A)\}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.},
author = {Vidhyaa, Kumar S., Dharuman, Chinnappa, Thandapani, Ethiraju, Pinelas, Sandra},
journal = {Mathematica Bohemica},
keywords = {third order delay difference equation; property $\{(\rm A)\}$; comparison theorem},
language = {eng},
number = {1},
pages = {25-37},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation theorems for third order nonlinear delay difference equations},
url = {http://eudml.org/doc/294592},
volume = {144},
year = {2019},
}

TY - JOUR
AU - Vidhyaa, Kumar S.
AU - Dharuman, Chinnappa
AU - Thandapani, Ethiraju
AU - Pinelas, Sandra
TI - Oscillation theorems for third order nonlinear delay difference equations
JO - Mathematica Bohemica
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 144
IS - 1
SP - 25
EP - 37
AB - Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form \[ \Delta (a_n(\Delta (b_n(\Delta y_n)^{\alpha })))+q_nf(y_{\sigma (n)})=0 \] to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.
LA - eng
KW - third order delay difference equation; property ${(\rm A)}$; comparison theorem
UR - http://eudml.org/doc/294592
ER -

References

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