Inverse problem of chemical kinetics as a composition of binary correspondences [Обратная Задача Химической Кинетики Как Композиция Бинарных Соответствий]

Inverse problem of chemical kinetics as a composition of binary correspondences [Обратная Задача Химической Кинетики Как Композиция Бинарных Соответствий] Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2018, Volume: 15, Pages: 48-53 Pages count : 6 DOI: 10.17377/semi.2018.15.006

Tags

Binary correspondence; Chemical kinetics; Composition; Differential equation; Inverse problem; Linear independence; Solvability

Authors

Gutman A.E. ^1,2 , Kononenko L.I. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Academician Koptyug av., 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090, Russian Federation

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. © 2018 Sobolev Institute of Mathematics.

Gutman A.E. , Kononenko L.I.
Inverse problem of chemical kinetics as a composition of binary correspondences [Обратная Задача Химической Кинетики Как Композиция Бинарных Соответствий]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.48-53. DOI: 10.17377/semi.2018.15.006 WOS Scopus

Web of science:	WOS:000438412200006
Scopus:	2-s2.0-85074910251

DB	Citing
Scopus	3