Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 10, Pages 17–28
This article is cited in 1 scientific paper (total in 1 paper)
Stability of Liénard equation
B. S. Kalitine
Belorussian State University,
4 Nezavisimosti Ave., Minsk, 220030 Republic of Belarus
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.
differential equation, balance, stability, Lyapunov's constant-sign function.
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B. S. Kalitine, “Stability of Liénard equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 17–28
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\paper Stability of Li\'enard equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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