Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments

Moussadek Remili; Lynda D. Oudjedi

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 2, page 79-90
  • ISSN: 0044-8753

Abstract

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In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.

How to cite

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Remili, Moussadek, and Oudjedi, Lynda D.. "Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments." Archivum Mathematicum 052.2 (2016): 79-90. <http://eudml.org/doc/281535>.

@article{Remili2016,
abstract = {In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.},
author = {Remili, Moussadek, Oudjedi, Lynda D.},
journal = {Archivum Mathematicum},
keywords = {Lyapunov functional; delay differential equations; third-order differential equations; stability; Lyapunov functional; delay differential equations; third-order differential equations},
language = {eng},
number = {2},
pages = {79-90},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments},
url = {http://eudml.org/doc/281535},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Remili, Moussadek
AU - Oudjedi, Lynda D.
TI - Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 2
SP - 79
EP - 90
AB - In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.
LA - eng
KW - Lyapunov functional; delay differential equations; third-order differential equations; stability; Lyapunov functional; delay differential equations; third-order differential equations
UR - http://eudml.org/doc/281535
ER -

References

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