Geodesic
Investigation of stability in the theory of nonlinear oscillations
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 307-318

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uestions of the stability of the equilibrium position for nonlinear oscillating systems relative to perturbations acting constantly on the system are considered. Theorems are proved governing the stability and instability conditions of the equilibrium point of a nonlinear system of general form. The stability is investigated by using Lyapunov function apparatus. 
@article{MZM_1968_3_3_a9,
     author = {M. M. Khapaev},
     title = {Investigation of stability in the theory of nonlinear oscillations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {307--318},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a9/}
}
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M. M. Khapaev. Investigation of stability in the theory of nonlinear oscillations. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 307-318. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a9/