Geodesic
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 385-405

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/MB.2021.0079-20
Classification : 34K13, 34K20, 92B20
Keywords: contraction mapping principle; asymptotic stability; neutral differential equation\looseness 1 
@article{10_21136_MB_2021_0079_20,
     author = {Benhadri, Mimia and Caraballo, Tom\'as},
     title = {New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations},
     journal = {Mathematica Bohemica},
     pages = {385--405},
     publisher = {mathdoc},
     volume = {147},
     number = {3},
     year = {2022},
     doi = {10.21136/MB.2021.0079-20},
     mrnumber = {4482313},
     zbl = {07584132},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0079-20/}
}
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
SP  - 385
EP  - 405
VL  - 147
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0079-20/
DO  - 10.21136/MB.2021.0079-20
LA  - en
ID  - 10_21136_MB_2021_0079_20
ER  - 
%0 Journal Article
%A Benhadri, Mimia
%A Caraballo, Tomás
%T New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
%J Mathematica Bohemica
%D 2022
%P 385-405
%V 147
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0079-20/
%R 10.21136/MB.2021.0079-20
%G en
%F 10_21136_MB_2021_0079_20
Benhadri, Mimia; Caraballo, Tomás. New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations. Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 385-405. doi: 10.21136/MB.2021.0079-20

Cité par Sources :