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Convergence of the Bogolyubov-Galerkin method

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Literature cited

  1. E. I. Kucherenko, “The Galerkin-straight line method for solving boundary-value problems,” in: Reports of the Third Siberian Conference on Mathematics and Mechanics [in Russian], Izd. Tomsk. Un-ta, Tomsk (1964).

    Google Scholar 

  2. É. I. Kucherenko, “The basis of certain approximate methods for integrating differential equations,” in: Collected Papers on Differential Equations [in Russian], Trudy RRTI, Ser. Matem., No. 8, Ryazan (1968).

  3. D. A. MacDonald, “Solution of the incompressible boundary layer equations via Galerkin-Kantorovich technique,” J. Inst. Math. Appl.,6, No. 2 (1970).

  4. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Gostekhizdat, Moscow-Leningrad (1949).

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  5. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Gostekhizdat, Moscow (1957).

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  6. É. I. Kucherenko, “Application of Galerkin's method to the integration of systems of nonlinear ordinary equations,” Differents. Uravnen.,6, No. 3 (1970).

  7. É. I. Kucherenko, “Application of B. G. Galerkin's method and its modifications to the integration of nonlinear elliptic equations,” in: Trudy Kazansk. Aviats. In-ta (Proceedings of the Kazan Aviation Inst.), No. 89, Kazan (1965).

  8. M. A. Krasnosel'skii, Topological Methods in the Theory of Nonlinear Integral Equations [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  9. É. I. Kucherenko, “Convergence of Galerkin's method for nonlinear second-order differential equations of elliptic type pirichlet problem),” in: Collected Candidates' Works of Kazan State Univ. [in Russian], Kazan (1962).

  10. S. L. Sobolev, Applications of Functional Analysis to Mathematical Physics [in Russian], Izd. Sibirsk. Otd. Akad. Nauk SSSR, Novosibirsk (1962).

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Authors and Affiliations

  1. Moscow Civil Engineering Institute, USSR

    É. I. Kucherenko

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  1. É. I. Kucherenko
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Translated from Ukrainskii Mateinaticheskii Zhurnal, Vol.29, No. 1, pp. 112–116, January–February, 1977.

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Kucherenko, É.I. Convergence of the Bogolyubov-Galerkin method. Ukr Math J 29, 87–90 (1977). https://doi.org/10.1007/BF01085521

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  • DOI: https://doi.org/10.1007/BF01085521

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