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The stability of the solution of a system of linear differential equations with periodic coefficients

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Literature cited

  1. A. M. Lyapunov, General Problems of Stability of Motion [in Russian], ONTI (1935).

  2. N. P. Erugin, Linear Systems of Ordinary Differential Equations with Periodic and Quasi-Periodic Coefficients [in Russian], Izd-vo AN BSSR (1963).

  3. N.A. Artem'ev, “Investigation of realizability of periodic motions,” Izv. AN SSSR, Ser. matem., 5, No. 2 (1941).

  4. N. A. Artem'ev, “Method of determining the characteristic exponents, and its application to two celestial mechanics problems,” Izv. AN SSSR, Ser. Matem.,8, No. 2 (1944).

  5. I. Z. Shtokalo, Linear Differential Equations with Variable Coefficients [in Russian], Izd-vo AN UkrSSR Press (1960).

  6. G. K. Valeev, Izv. VUZ, Radiofizika, 3 (1960).

  7. V. V. Beletskii, “On the vibrations of a satellite,” Artificial Earth Satellites [in Russian], No, 3, Izd-vo AN SSSR (1959).

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Translated from the Ukrainskii Matematicheskii Zhurnal, Vol.20, No.2, pp.156–165, March–April, 1968.

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Ilyukhin, A.G. The stability of the solution of a system of linear differential equations with periodic coefficients. Ukr Math J 20, 144–152 (1968). https://doi.org/10.1007/BF01085527

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  • DOI: https://doi.org/10.1007/BF01085527

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