Задача идентификации для невырожденной системы дифференциальных уравнений с быстрыми и медленными переменными

Translated title of the contribution: The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables

Research output: Contribution to journalArticlepeer-review

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.

Translated title of the contributionThe identification problem for a nonsingular system of ordinary differential equations with fast and slow variables
Original languageRussian
Article number1
Pages (from-to)3-15
Number of pages13
JournalMathematical Notes of NEFU
Volume28
Issue number2
DOIs
Publication statusPublished - 2021

Keywords

  • Chemical kinetics
  • Contraction mapping principle
  • Inverse problem
  • Ordinary differential equation
  • Small parameter

OECD FOS+WOS

  • 1.02 COMPUTER AND INFORMATION SCIENCES
  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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