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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 351–354 (Mi semr111)  
Short communications

Monotone integrals and stability of autonomous systems

V. V. Ivanov, V. M. Cheresiz

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We define the monotone functions of several real variables as well as describe the admissible operations over those and study their geometric structure. The suggested applications of our results to the stability theory of multidimensional dynamical systems are provided.
Keywords: monotone functions of several variables, first integrals and Lyapunov's functions of vector fields, Hamiltonian systems.
Received August 28, 2008, published September 18, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34C05
Language: Russian
Citation: V. V. Ivanov, V. M. Cheresiz, “Monotone integrals and stability of autonomous systems”, Sib. Èlektron. Mat. Izv., 5 (2008), 351–354
Citation in format AMSBIB
\Bibitem{IvaChe08}
\by V.~V.~Ivanov, V.~M.~Cheresiz
\paper Monotone integrals and stability of autonomous systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 351--354
\mathnet{http://mi.mathnet.ru/semr111}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586642}
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