Estimates of error of linearization of the relative parts and all phase variables
A. V. Shchennikov1, V. N. Shchennikov2, E. V. Shchennikova3
Annotation | 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. |
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Keywords | estimation of the error of linearization, asymptotic stability |
1Applicant of the Department of fundamental informatics, Ogarev Mordovia State University, Saransk; du@math.mrsu.ru
2Professor of the Department of Applied Mathematics, Differential Equations and Theoretical Mechanics, Ogarev Mordovia State University, Saransk; du@math.mrsu.ru
3Associate Professor of the Department of fundamental informatics, Ogarev Mordovia State University, Saransk; du@math.mrsu.ru
Citation: A. V. Shchennikov, V. N. Shchennikov, E. V. Shchennikova , "[Estimates of error of linearization of the relative parts and all phase variables]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:4 (2015) 45–59 (In Russian)