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Literature cited
N. Rouche, P. Habets, and M. Laloy, Stability by Lyapunov's Direct Method, Springer-Verlag, New York (1977).
A. V. Karapetyan and V. V. Rumyantsev, “Stability of conservative and dissipative systems,” Itogi Nauki i Tekhniki, Ser. Obshchaya Mekhanika, VINITI, Vol. 6, Moscow (1983).
S. P. Sosnitskii, “On some cases of instability of the equilibrium of natural systems,” Ukr. Mat. Zh.,37, No. 1, 124–127 (1985).
L. Pars, A Treatise on Analytical Dynamics, Wiley, New York (1965).
V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations [in Russian], Gostekhteorizdat, Moscow-Leningrad (1959).
N. N. Krasovskii, Some Problems of the Theory of Stability of Motion [in Russian], Fizmatgiz, Moscow (1959).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 215–220, March–April, 1987.
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Sosnitskii, S.P. Action in hamilton's sense as an analogue of Lyapunov's function for natural systems. Ukr Math J 39, 181–184 (1987). https://doi.org/10.1007/BF01057501
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DOI: https://doi.org/10.1007/BF01057501