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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 48–53
DOI: https://doi.org/10.17377/semi.2018.15.006 (Mi semr897) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

Inverse problem of chemical kinetics as a composition of binary correspondences

A. E. Gutmanab, L. I. Kononenkoab

a Sobolev Institute of Mathematics, Academician Koptyug av., 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.006
Abstract: Binary correspondences are employed for formalization of the notion of problem, definition of the basic components of problems, their properties, and constructions (the condition of a problem, its data and unknowns, solvability and unique solvability of a problem, inverse problem, and composition of problems). As an illustration, we consider a system of differential equations which describe a process in chemical kinetics. Within the study of the inverse problem, a criterion is established for linear independence of functions in terms of finite sets of their values.
Keywords: Differential equation, chemical kinetics, inverse problem, linear independence, binary correspondence, solvability, composition.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00057
Received December 4, 2017, published January 26, 2018
Bibliographic databases:
Document Type: Article
UDC: 541.124+517.9
MSC: 92E20, 34A55
Language: Russian
Citation: A. E. Gutman, L. I. Kononenko, “Inverse problem of chemical kinetics as a composition of binary correspondences”, Sib. Èlektron. Mat. Izv., 15 (2018), 48–53
Citation in format AMSBIB
\Bibitem{GutKon18}
\by A.~E.~Gutman, L.~I.~Kononenko
\paper Inverse problem of chemical kinetics as a composition of binary correspondences
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 48--53
\mathnet{http://mi.mathnet.ru/semr897}
\crossref{https://doi.org/10.17377/semi.2018.15.006}
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