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Literature cited
N. N. Krasovskii, Some Problems in the Theory of Stability of Motion [in Russian], Fizmatgiz, Moscow (1959).
V. P. Prokop'ev, “Stability in a critical case of null roots for a system with persistence,” Izv. Vuzov, Matematika, No. 1 (1967).
A. F. Misnik, The Stability of a System of Differential Equations of Neutral Type [in Russian], Avtoreferat Cand. Dissert. (1968).
S. N. Shimanov, “Stability in a critical case of one null root for a system with persistence,” PMM,24, No. 3 (1960).
A. F. Misnik, “The second method of Lyapunov for equations of neutral type,” in Trudy Seminara po Teorii Differentsial'nikh Uravnenii s Otklonyayushchimya Argumentom, Izd. UDN,6, (1968).
G. V. Kamenkov, “On the stability of motion,” Trudy Kazanskovo Aviatsionnogo Inst., No. 9 (1939).
S. N. Shimanov, “Stability in a critical case of one null root for a system with persistence (a singular case),” Izv. Vuzov, Matematika, No. 1 (20) (1961).
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 2, pp. 260–268, March–April, 1972.
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Misnik, A.F. An investigation of the stability in a critical case of certain null roots of a system of differential equations of neutral type. Ukr Math J 24, 217–223 (1972). https://doi.org/10.1007/BF01086817
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DOI: https://doi.org/10.1007/BF01086817