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The reductibility of some differential equations in Banach space

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Literature cited

  1. N. N. Bogolyubov, Quasi-periodic Solutions in Problems of Non-linear Mechanics [in Russian], Transactions of the First Summer School of Mathematics, Naukova Dumka, Kiev (1964).

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  2. Yu. A. Mitropol'skii, The construction of the general solution of a non-linear differential equation by using a method guaranteeing accelerated convergence, Ukrainsk. Matem. Zh.16, No. 4 (1964).

  3. E. G. Eelaga, The reducibility of a system of ordinary differential equations in a neighborhood of a conditionally periodic motion, Dokl. Akad. Nauk SSSR,143, No. 2 (1962).

  4. Yu. A. Mitropol'skii and A. M. Samoilenko, The construction of solutions of linear differential equations with quasi-periodic coefficients by using a method of accelerated convergence, Ukrainsk. Matem. Zh.,17, No. 6 (1965).

  5. M. G. Krein, Lectures in Stability Theory of Solutions of Differential Equations in Banach Space [in Russian], Yu. L. Oaletskii (editor), Izd-vo Naukova Dumka, Kiev (1964).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.20, No.5, pp.628–641, September–October, 1968.

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Lykova, O.B., Bozatyrev, B.M. The reductibility of some differential equations in Banach space. Ukr Math J 20, 542–553 (1968). https://doi.org/10.1007/BF01091998

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  • DOI: https://doi.org/10.1007/BF01091998

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