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An inverse problem of chemical kinetics in nondegenerate case Научная публикация

Журнал

Математические заметки СВФУ (Mathematical Notes of NEFU)
ISSN: 2411-9326 , E-ISSN: 2587-876X

Вых. Данные

Год: 2023, Том: 30, Номер: 1, Страницы: 63-71 Страниц : 9 DOI: 10.25587/SVFU.2023.33.27.005

Ключевые слова

integral manifold, slow surface, singularly perturbed system, small parameter, inverse problem, ODE

Авторы

Kononenko L.I. ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0005

The article contains a review of recent results on solving the direct and inverse problems related to a singularly perturbed system of ordinary differential equations which describe a process in chemical kinetics. We also extend the class of problems under study by considering polynomials of arbitrary degree as the right-hand parts of the differential equations in the case ε= 0. Moreover, an iteration algorithm is proposed of finding an approximate solution to the inverse problem in the nondegenerate case (ε= 0) for arbitrary degree. The theorem is proven on the convergence of the algorithm suggested. The proof is based on the contraction mapping principle (the Banach fixedpoint theorem)

Kononenko L.I.
An inverse problem of chemical kinetics in nondegenerate case
Математические заметки СВФУ (Mathematical Notes of NEFU). 2023. V.30. N1. P.63-71. DOI: 10.25587/SVFU.2023.33.27.005 Scopus РИНЦ

Поступила в редакцию:	3 февр. 2023 г.
Принята к публикации:	28 февр. 2023 г.
Опубликована в печати:	11 мая 2023 г.
Опубликована online:	11 мая 2023 г.

Scopus:	2-s2.0-85158841996
РИНЦ:	50819691

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