Geodesic
On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations
Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 285-299

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

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.
DOI : 10.21136/MB.2021.0081-19
Classification : 34K20, 34K40
Keywords: stability; boundedness; square integrability; Lyapunov functional; neutral differential equation of third order 
@article{10_21136_MB_2021_0081_19,
     author = {Graef, John R. and Beldjerd, Djamila and Remili, Moussadek},
     title = {On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations},
     journal = {Mathematica Bohemica},
     pages = {285--299},
     publisher = {mathdoc},
     volume = {147},
     number = {3},
     year = {2022},
     doi = {10.21136/MB.2021.0081-19},
     mrnumber = {4482306},
     zbl = {07584125},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0081-19/}
}
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
SP  - 285
EP  - 299
VL  - 147
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0081-19/
DO  - 10.21136/MB.2021.0081-19
LA  - en
ID  - 10_21136_MB_2021_0081_19
ER  - 
%0 Journal Article
%A Graef, John R.
%A Beldjerd, Djamila
%A Remili, Moussadek
%T On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations
%J Mathematica Bohemica
%D 2022
%P 285-299
%V 147
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0081-19/
%R 10.21136/MB.2021.0081-19
%G en
%F 10_21136_MB_2021_0081_19
Graef, John R.; Beldjerd, Djamila; Remili, Moussadek. On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations. Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 285-299. doi: 10.21136/MB.2021.0081-19

Cité par Sources :