Literature cited
A. M. Lyapunov, Collected Works [in Russian], Vol. 2, Izd. Akad. Nauk SSSR, Moscow (1956).
O. Perron, “Über Stabilität und asymptotisches Verhalten der Integrale von Differential-gleichungssystemen,” Math. Z.,29, 129–160 (1928).
R. Bellman, Stability Theory of Differential Equations, McGraw-Hill, New York (1953).
B. F. Bylov, R. É. Vinograd, D. M. Grobman, and V. V. Nemytskii, Theory of Lyapunov Exponents and Its Applications to Stability Problems [in Russian], Nauka, Moscow (1966).
V. M. Millionshchikov, “Baire classes of functions and Lyapunov exponents. VI,” Differents. Uravn.,18, No. 5, 804–821 (1982).
V. M. Millionshchikov, “Baire classes of functions and Lyapunov exponents. VII,” Differents. Uravn.,18, No. 6, 957–978 (1982).
V. M. Millionshchikov, “Baire classes of functions and Lyapunov exponents. VIII,” Differents. Uravn.,18, No. 8, 1330–1345 (1982).
V. M. Millionshchikov, “Baire classes of functions and Lyapunov exponents. IX,” Differents. Uravn.,18, No. 9, 1507–1548 (1982).
V. M. Millionshchikov, “On the typical properties of conditional exponential stability. II,” Differents. Uravn.,19, No. 9, 1503–1510 (1983).
V. M. Millionshchikov, “On the typical properties of conditional exponential stability. IV,” Differents. Uravn.,20, No. 2, 241–257 (1984).
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Translated from Matematicheskie Zametki, Vol. 36, No. 4, pp. 517–530, October, 1984.
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Millionshchikov, V.M. Typicalness of stable stability with respect to first approximation. Mathematical Notes of the Academy of Sciences of the USSR 36, 755–763 (1984). https://doi.org/10.1007/BF01156464
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DOI: https://doi.org/10.1007/BF01156464