Olga G. Antonovskaia

Place of work

Organization:
FGBOU VO "Nizhegorodskii gosudarstvennyi arkhitekturno-stroitel'nyi universitet"
Degree:
candidate of physical and mathematical sciences
SPIN:
6654-5900
ORCID:
https://orcid.org/0000-0002-5688-7996

Author's articles(2)

Priamoi metod Liapunova i ego izlozhenie v sovremennom uchebnom protsesse

20.04.2020

Annotation

the article is devoted to the problem of the full treatment of the subject “Construction of Lyapunov functions” in the “Lyapunov's direct method” section in the courses on system dynamics, differential equations, etc., for students of mathematical and technical specialties. The authors of the article point out that first of all Lyapunov function method is considered the method useful for studying dynamics of concrete technical systems by mathematical methods. Since for practical use of this method it makes sense to construct Lyapunov functions in simplest form, the methodology for constructing...
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Sovremennye problemy teorii ustoichivosti i soderzhanie kursa matematiki v tekhnicheskom vuze

04.05.2021

Annotation

this paper addresses the problem of the "Stability reserve" issue in the "Stability theory" section in the system dynamics, differential equations and other courses for students of technical specialties. The problems of stability reserve determination are examined first of all from the point of view of accessibility of material account and possibility of its practical use when solving applied problems on the base of knowledge obtained by the students of technical high educational institutions in mathematical courses.
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