References
N. Rouche, P. Habets, and M. Laloy, Lyapunov's Direct Method in Stability Theory [Russian translation], Mir, Moscow (1980).
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations [Russian translation], Mir, Moscow (1958).
H. Cartan, Elementary Theory of Analytic Functions of One and Several Complex Variables [Russian translation], Mir, Moscow (1963).
Yu. I. Lyubich, Izv. Vuzov, Mat.,257, No. 10, 49–50 (1983).
V. A. Pliss, Vestn. LGU, Mat., Fiz., Khim., No. 11, 19–32 (1954).
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Translated from Matematicheskie Zametki, Vol. 57, No. 1, pp. 139–142, January, 1995.
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Cheban, D.N. Converse of Lyapunov's theorem on asymptotic stability to the first approximation for C-analytic nonautonomous systems. Math Notes 57, 100–102 (1995). https://doi.org/10.1007/BF02309403
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DOI: https://doi.org/10.1007/BF02309403