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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 352, Pages 106–113 (Mi znsl621)  
Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions

O. A. Ivanov

Saint-Petersburg State University
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Abstract: 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.
Received: 29.01.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 153, Issue 1, Pages 43–46
DOI: https://doi.org/10.1007/s10958-008-9117-0
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. A. Ivanov, “Integrals along trajectories of a dynamic system and the existence of homogeneous Lyapunoff–Krasovskij functions”, Investigations in topology. Part 12, Zap. Nauchn. Sem. POMI, 352, POMI, St. Petersburg, 2008, 106–113; J. Math. Sci. (N. Y.), 153:1 (2008), 43–46
Citation in format AMSBIB
\Bibitem{Iva08}
\by O.~A.~Ivanov
\paper Integrals along trajectories of a~dynamic system and the existence of homogeneous Lyapunoff--Krasovskij functions
\inbook Investigations in topology. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 352
\pages 106--113
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl621}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 153
\issue 1
\pages 43--46
\crossref{https://doi.org/10.1007/s10958-008-9117-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55949119223}
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