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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[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