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Derivation of preservation conditions for properties of mathematical models

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An Erratum to this article was published on 01 January 2016

Abstract

A general method for deriving conditions for the preservation of properties of any mathematical models is proposed. No constraints on the properties under consideration are imposed. No a priori specification of any part of these conditions, except connection predicates for pairs of variables corresponding to each other in the definitions of properties, is required. Examples are given.

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Authors and Affiliations

  1. Institute of Control Sciences (Automation and Telemechanics), Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russia

    S. N. Vassilyev & N. Yu. Morozov

  2. Physical Faculty, Lomonosov Moscow State University, Moscow, 119991, Russia

    S. N. Vassilyev & N. Yu. Morozov

  3. Mathematics and Mechanics Faculty, St. Petersburg State University, Universitetskii prosp. 28, Peterhof, St. Petersburg, 198504, Russia

    A. E. Druzhinin

Authors
  1. S. N. Vassilyev
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  2. A. E. Druzhinin
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  3. N. Yu. Morozov
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Correspondence to S. N. Vassilyev.

Additional information

Original Russian Text © S.N. Vassilyev, A.E. Druzhinin, N.Yu. Morozov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 1, pp. 14–19.

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Vassilyev, S.N., Druzhinin, A.E. & Morozov, N.Y. Derivation of preservation conditions for properties of mathematical models. Dokl. Math. 92, 658–663 (2015). https://doi.org/10.1134/S1064562415060058

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  • DOI: https://doi.org/10.1134/S1064562415060058

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