An inverse problem of chemical kinetics in a nondegenerate case
https://doi.org/10.25587/SVFU.2023.33.27.005
Аннотация
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 fixed- point theorem).
Ключевые слова
Об авторе
L. I. Kononenko
Sobolev Institute of Mathematics
Россия
Россия
Larisa I. Kononenko
4 Koptyug Avenue, 630090 Novosibirsk
Список литературы
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Рецензия
Для цитирования:
Kononenko L.I. An inverse problem of chemical kinetics in a nondegenerate case. Математические заметки СВФУ. 2023;30(1):63-71. https://doi.org/10.25587/SVFU.2023.33.27.005
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