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

Журнал Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304
Вых. Данные Год: 2018, Том: 15, Страницы: 48-53 Страниц : 6 DOI: 10.17377/semi.2018.15.006
Ключевые слова Binary correspondence; Chemical kinetics; Composition; Differential equation; Inverse problem; Linear independence; Solvability
Авторы Gutman A.E. 1,2 , Kononenko L.I. 1,2
Организации
1 Sobolev Institute of Mathematics, Academician Koptyug av., 4, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090, Russian Federation

Реферат: 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.
Библиографическая ссылка: 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
Идентификаторы БД:
Web of science: WOS:000438412200006
Scopus: 2-s2.0-85074910251
Цитирование в БД:
БД Цитирований
Scopus 3
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