Geodesic
Stability of Li\'enard equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 17-28

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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. 
@article{IVM_2018_10_a1,
     author = {B. S. Kalitine},
     title = {Stability of {Li\'enard} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {17--28},
     publisher = {mathdoc},
     number = {10},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_10_a1/}
}
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B. S. Kalitine. Stability of Li\'enard equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 17-28. http://geodesic.mathdoc.fr/item/IVM_2018_10_a1/