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On some modifications of Chaplygin's method for equations in partially ordered spaces

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Literature cited

  1. S. A. Chaplygin, A New Method for the Approximate Solution of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

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  4. S. N. Slugin, “Approximate solution of operator equations, based on Chaplygin's method,” Dokl. Akad. Nauk SSSR,103, No. 4 (1955).

  5. N. S. Kurpel', Some Generalizations and Modifications of Chaplygin's Method. Approximation and Qualitative Methods in Theory of Differential and Integral Equations [in Russian], Izd. Instituta Matematika AN UkrSSR, Kiev (1971).

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  6. L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], GITTL, Moscow-Leningrad (1950).

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Authors and Affiliations

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

    N. S. Kurpel' & V. I. Grechko

Authors
  1. N. S. Kurpel'
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  2. V. I. Grechko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 39–46, January–February, 1973.

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Kurpel', N.S., Grechko, V.I. On some modifications of Chaplygin's method for equations in partially ordered spaces. Ukr Math J 25, 30–36 (1973). https://doi.org/10.1007/BF01085389

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  • DOI: https://doi.org/10.1007/BF01085389

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