This article is cited in 1 paper

Mathematics

The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables

L. I. Kononenko<sup>ab

a</sup> Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
^b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia

Abstract: An iteration algorithm of finding an approximate solution to an inverse problem in the nonsingular case ($\varepsilon$ = 0) is proposed. On each iteration step, the algorithm combines the inverse problem solution for the investigated case $\varepsilon$ = 0 and the direct problem solution which is reduced to the proof of existence and uniqueness theorem in case $\varepsilon$ = 0. We prove a theorem about the convergence of the proposed algorithm; the proof is based on the contraction mapping principle.

Keywords: inverse problem, ordinary differential equation, small parameter, contraction mapping principle, chemical kinetics.

UDC: 541.124+517.9

Received: 28.02.2021
Accepted: 26.05.2021

DOI: 10.25587/SVFU.2021.58.21.001

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