On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations

John R. Graef; Djamila Beldjerd; Moussadek Remili

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 3, page 285-299
  • ISSN: 0862-7959

Abstract

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The authors establish some new sufficient conditions under which all solutions of a certain class of nonlinear neutral delay differential equations of the third order are stable, bounded, and square integrable. Illustrative examples are given to demonstrate the main results.

How to cite

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Graef, John R., Beldjerd, Djamila, and Remili, Moussadek. "On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations." Mathematica Bohemica 147.3 (2022): 285-299. <http://eudml.org/doc/298468>.

@article{Graef2022,
abstract = {The authors establish some new sufficient conditions under which all solutions of a certain class of nonlinear neutral delay differential equations of the third order are stable, bounded, and square integrable. Illustrative examples are given to demonstrate the main results.},
author = {Graef, John R., Beldjerd, Djamila, Remili, Moussadek},
journal = {Mathematica Bohemica},
keywords = {stability; boundedness; square integrability; Lyapunov functional; neutral differential equation of third order},
language = {eng},
number = {3},
pages = {285-299},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations},
url = {http://eudml.org/doc/298468},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Graef, John R.
AU - Beldjerd, Djamila
AU - Remili, Moussadek
TI - On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 3
SP - 285
EP - 299
AB - The authors establish some new sufficient conditions under which all solutions of a certain class of nonlinear neutral delay differential equations of the third order are stable, bounded, and square integrable. Illustrative examples are given to demonstrate the main results.
LA - eng
KW - stability; boundedness; square integrability; Lyapunov functional; neutral differential equation of third order
UR - http://eudml.org/doc/298468
ER -

References

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