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

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

### Abstract

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

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Received

28-02-2021

How to Cite

*Mathematical notes of NEFU*, 28(2), pp. 3-15. doi: https://doi.org/10.25587/SVFU.2021.58.21.001.

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Mathematics

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