Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation

Larbi Fatmi; Moussadek Remili

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 2, page 71-86
  • ISSN: 0231-9721

Abstract

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This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.

How to cite

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Fatmi, Larbi, and Remili, Moussadek. "Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 71-86. <http://eudml.org/doc/287921>.

@article{Fatmi2016,
abstract = {This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.},
author = {Fatmi, Larbi, Remili, Moussadek},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Lyapunov functional; third-order vector delay differential equation; boundedness; stability},
language = {eng},
number = {2},
pages = {71-86},
publisher = {Palacký University Olomouc},
title = {Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation},
url = {http://eudml.org/doc/287921},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Fatmi, Larbi
AU - Remili, Moussadek
TI - Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 71
EP - 86
AB - This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.
LA - eng
KW - Lyapunov functional; third-order vector delay differential equation; boundedness; stability
UR - http://eudml.org/doc/287921
ER -

References

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