Geodesic
Monotone integrals and stability of autonomous systems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 351-354
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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. 
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     author = {V. V. Ivanov and V. M. Cheresiz},
     title = {Monotone integrals and stability of autonomous systems},
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V. V. Ivanov; V. M. Cheresiz. Monotone integrals and stability of autonomous systems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 351-354. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a36/

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