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

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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--Krasovskij} functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {106--113},
     publisher = {mathdoc},
     volume = {352},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_352_a2/}
}
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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/