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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 9, Pages 37–49
DOI: https://doi.org/10.26907/0021-3446-2019-9-37-49 (Mi ivm9497) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Aizerman problem for the scalar differential equations

B. S. Kalitin

Belorussian State University, 4 Nezavisimosti Ave., Minsk, 220030 Republic of Belarus
Full-text PDF (352 kB) Citations (1) English version article
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DOI: https://doi.org/10.26907/0021-3446-2019-9-37-49
Abstract: We deal with the problem of stability of the equilibrium of a $n$-th order scalar differential equation. A positive solution is obtained for the Aizerman problem for equations of a special type. We have proved that the parameter of the real part of root of the characteristic equation can be replaced by an arbitrary continuous function depending on all phase variables while preserving the properties of global asymptotic stability.
Keywords: scalar differential equation, equilibrium, stability, Lyapunov functions.
Received: 24.07.2018
Revised: 19.12.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 9, Pages 31–42
DOI: https://doi.org/10.3103/S1066369X19090044
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: B. S. Kalitin, “On the Aizerman problem for the scalar differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 9, 37–49; Russian Math. (Iz. VUZ), 63:9 (2019), 31–42
Citation in format AMSBIB
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\paper On the Aizerman problem for the scalar differential equations
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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