This article is cited in 2 papers

Differentical equations, dynamical systems and optimal control

Inverse problem of chemical kinetics as a composition of binary correspondences

A. E. Gutman^ab, L. I. Kononenko<sup>ab

a</sup> Sobolev Institute of Mathematics, Academician Koptyug av., 4, 630090, Novosibirsk, Russia
^b Novosibirsk State University, Pirogova, 2, 630090, Novosibirsk, Russia

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.

UDC: 541.124+517.9

MSC: 92E20, 34A55

Received December 4, 2017, published January 26, 2018

DOI: 10.17377/semi.2018.15.006

Bibliographic databases:

•