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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 10, Pages 17–28 (Mi ivm9401)  
This article is cited in 3 scientific papers (total in 3 papers)

Stability of Liénard equation

B. S. Kalitine

Belorussian State University, 4 Nezavisimosti Ave., Minsk, 220030 Republic of Belarus
Full-text PDF (202 kB) Citations (3)
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Abstract: We consider stability problem of balance on nonlinear differential equations of the second type of the Liénard type. Investigations are carried out by means of constant-sign Lyapunov's functions for problems of stability, asymptotical stability (local and global) and instability. Implicitly we formulate a method of construction of constant-sign functions suitable for solving problems of stability of motion. Special attention is paid to a problem of non-asymptotical stablity, where we demonstrate possibilities of new assertions that rely upon a usage of constant-sign Lyapunov functions.
Keywords: differential equation, balance, stability, Lyapunov's constant-sign function.
Received: 18.10.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 10, Pages 15–25
DOI: https://doi.org/10.3103/S1066369X1810002X
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: B. S. Kalitine, “Stability of Liénard equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 17–28; Russian Math. (Iz. VUZ), 62:10 (2018), 15–25
Citation in format AMSBIB
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\by B.~S.~Kalitine
\paper Stability of Li\'enard equation
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\yr 2018
\issue 10
\pages 17--28
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\yr 2018
\vol 62
\issue 10
\pages 15--25
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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