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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 4, Pages 45–59 (Mi svmo566)

Mathematics

Estimates of error of linearization of the relative parts and all phase variables

A. V. Shchennikov, V. N. Shchennikov, E. V. Shchennikova

Ogarev Mordovia State University

Abstract: This article is a complete statement of the material presented at the international conference dedicated to the 85th anniversary of VI Zubov. The paper developed a method of constructing estimates of error of linearization of nonlinear systems of differential equations, including critical cases.

Keywords: estimation of the error of linearization, asymptotic stability.

UDC: 517.925.54

Received: 11.12.2015



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