An inverse problem of chemical kinetics in a nondegenerate case
Matematičeskie zametki SVFU, Tome 30 (2023) no. 1, pp. 63-71
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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 $\varepsilon \ne 0$. Moreover, an iteration algorithm is proposed of finding an approximate solution to the inverse problem in the nondegenerate $(\varepsilon \ne 0)$ 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).
Keywords:
integral manifold, slow surface, singularly perturbed system, small parameter, inverse problem
Mots-clés : ODE.
Mots-clés : ODE.
@article{SVFU_2023_30_1_a4,
author = {L. I. Kononenko},
title = {An inverse problem of chemical kinetics in a nondegenerate case},
journal = {Matemati\v{c}eskie zametki SVFU},
pages = {63--71},
year = {2023},
volume = {30},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_1_a4/}
}
L. I. Kononenko. An inverse problem of chemical kinetics in a nondegenerate case. Matematičeskie zametki SVFU, Tome 30 (2023) no. 1, pp. 63-71. http://geodesic.mathdoc.fr/item/SVFU_2023_30_1_a4/