New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations

Mimia Benhadri; Tomás Caraballo

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 3, page 385-405
  • ISSN: 0862-7959

Abstract

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This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.

How to cite

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Benhadri, Mimia, and Caraballo, Tomás. "New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations." Mathematica Bohemica 147.3 (2022): 385-405. <http://eudml.org/doc/298480>.

@article{Benhadri2022,
abstract = {This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.},
author = {Benhadri, Mimia, Caraballo, Tomás},
journal = {Mathematica Bohemica},
keywords = {contraction mapping principle; asymptotic stability; neutral differential equation},
language = {eng},
number = {3},
pages = {385-405},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations},
url = {http://eudml.org/doc/298480},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Benhadri, Mimia
AU - Caraballo, Tomás
TI - New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 3
SP - 385
EP - 405
AB - This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.
LA - eng
KW - contraction mapping principle; asymptotic stability; neutral differential equation
UR - http://eudml.org/doc/298480
ER -

References

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