Geodesic
Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 12, Tome 352 (2008), pp. 106-113 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Linear equations with respect to a dynamic system on a metric space are considered. A new proof of the existence of homogeneous Lyapunoff–Krasovskij functions for a homogeneous system in the Euclid space is given. Bibl. – 3 titles. 
@article{ZNSL_2008_352_a2,
     author = {O. A. Ivanov},
     title = {Integrals along trajectories of a~dynamic system and the existence of homogeneous {Lyapunoff{\textendash}Krasovskij} functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {106--113},
     year = {2008},
     volume = {352},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_352_a2/}
}
TY  - JOUR
AU  - O. A. Ivanov
TI  - Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2008
SP  - 106
EP  - 113
VL  - 352
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2008_352_a2/
LA  - ru
ID  - ZNSL_2008_352_a2
ER  - 
%0 Journal Article
%A O. A. Ivanov
%T Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 106-113
%V 352
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_352_a2/
%G ru
%F ZNSL_2008_352_a2
O. A. Ivanov. Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 12, Tome 352 (2008), pp. 106-113. http://geodesic.mathdoc.fr/item/ZNSL_2008_352_a2/

[1] O. A. Ivanov, “Lineinye uravneniya “v silu” dinamicheskoi sistemy. Sovremennye metody v teorii kraevykh zadach”, Pontryaginskie chteniya XII, Tezisy dokladov, VGU, Voronezh, 2001, 79–80

[2] A. Ya. Kanevskii, L. E. Reizin, “Postroenie odnorodnykh funktsii Lyapunova–Krasovskogo”, Diff. uravn., 1973, no. 2, 251–259 | MR | Zbl

[3] N. N. Ladis, “Energeticheskie funktsii dlya nekotorykh dinamicheskikh sistem”, Diff. uravn., 1972, no. 5, 790–795 | MR