Literature cited
P. Hagedorn, “Die Umkehrung der Stabilitätssatze von Lagrange-Dirichlet und Routh,” Arch. Rat. Mech. Anal.,42, No. 4, 281–316 (1971).
N. Rouche, P. Habets, and M. Laloy, Stability Theory by Lyapunov's Direct Method, Appl. Math. Sciences, Vol. 22, Springer-Verlag, New York-Heidelberg-Berlin (1977).
N. G. Chetaev, Stability of Motion: Works on Analytical Mechanics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).
A. M. Lyapunov, General Problem of Stability of Motion [in Russian], ONTI, Moscow-Leningrad (1935).
V. V. Kozlov and V. P. Palamodov, “On asymptotic solutions of the equations of classical mechanics,” Dokl. Akad. Nauk SSSR,263, No. 2, 285–289 (1982).
V. V. Rumyantsev, On the Stability of Stationary Motions of Satellites [in Russian], Vychisl. Tsentr Akad. Nauk SSSR, Moscow (1967).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 124–127, 1985.
Rights and permissions
About this article
Cite this article
Sosnitskii, S.P. Some cases of instability of equilibria of natural systems. Ukr Math J 37, 108–111 (1985). https://doi.org/10.1007/BF01056865
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01056865