Geodesic
On the Aizerman problem for the scalar differential equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2019), pp. 37-49

Voir la notice de l'article provenant de la source Math-Net.Ru

We deal with the problem of stability of the equilibrium of a $n$-th order scalar differential equation. A positive solution is obtained for the Aizerman problem for equations of a special type. We have proved that the parameter of the real part of root of the characteristic equation can be replaced by an arbitrary continuous function depending on all phase variables while preserving the properties of global asymptotic stability.
Keywords: scalar differential equation, equilibrium, stability, Lyapunov functions. 
@article{IVM_2019_9_a3,
     author = {B. S. Kalitin},
     title = {On the {Aizerman} problem for the scalar differential equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {37--49},
     publisher = {mathdoc},
     number = {9},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_9_a3/}
}
TY  - JOUR
AU  - B. S. Kalitin
TI  - On the Aizerman problem for the scalar differential equations
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2019
SP  - 37
EP  - 49
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2019_9_a3/
LA  - ru
ID  - IVM_2019_9_a3
ER  - 
%0 Journal Article
%A B. S. Kalitin
%T On the Aizerman problem for the scalar differential equations
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2019
%P 37-49
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2019_9_a3/
%G ru
%F IVM_2019_9_a3
B. S. Kalitin. On the Aizerman problem for the scalar differential equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2019), pp. 37-49. http://geodesic.mathdoc.fr/item/IVM_2019_9_a3/