Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms

George E. Chatzarakis; Ponnuraj Dinakar; Srinivasan Selvarangam; Ethiraju Thandapani

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 2, page 271-284
  • ISSN: 0862-7959

Abstract

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We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral coefficients are unbounded. Thus, the results obtained here are new and complement some known results reported in the literature. Examples are also given to illustrate the applicability and strength of the obtained conditions over the known ones.

How to cite

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Chatzarakis, George E., et al. "Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms." Mathematica Bohemica 147.2 (2022): 271-284. <http://eudml.org/doc/297668>.

@article{Chatzarakis2022,
abstract = {We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral coefficients are unbounded. Thus, the results obtained here are new and complement some known results reported in the literature. Examples are also given to illustrate the applicability and strength of the obtained conditions over the known ones.},
author = {Chatzarakis, George E., Dinakar, Ponnuraj, Selvarangam, Srinivasan, Thandapani, Ethiraju},
journal = {Mathematica Bohemica},
keywords = {oscillation; quasilinear difference equation; delay and advanced neutral terms},
language = {eng},
number = {2},
pages = {271-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms},
url = {http://eudml.org/doc/297668},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Chatzarakis, George E.
AU - Dinakar, Ponnuraj
AU - Selvarangam, Srinivasan
AU - Thandapani, Ethiraju
TI - Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 2
SP - 271
EP - 284
AB - We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms. The results established in this paper are applicable to equations whose neutral coefficients are unbounded. Thus, the results obtained here are new and complement some known results reported in the literature. Examples are also given to illustrate the applicability and strength of the obtained conditions over the known ones.
LA - eng
KW - oscillation; quasilinear difference equation; delay and advanced neutral terms
UR - http://eudml.org/doc/297668
ER -

References

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