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The ideas of Krylov and Bogolyubov in the theory of differential equations and mathematical physics and their development

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A brief survey is presented of some ideas and results of Krylov and Bogolyubov in the theory of differential equations and mathematical physics, and also of their further development and application.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    Yu. A. Mitropol'skii

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  1. Yu. A. Mitropol'skii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 291–302, March, 1990.

Communication presented to the First Meeting of the Kiev Mathematical Society, June 6, 1989.

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Mitropol'skii, Y.A. The ideas of Krylov and Bogolyubov in the theory of differential equations and mathematical physics and their development. Ukr Math J 42, 259–269 (1990). https://doi.org/10.1007/BF01057006

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  • DOI: https://doi.org/10.1007/BF01057006

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