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Extremal problems for certain classes of functions one-sheeted in the half plane

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Literature cited

  1. M. A. Lavrent'ev, “On some properties of one-sheeted functions with applications to the theory of flows,” Matem. Sb.,4, No. 3 (46).

  2. N. V. Popova, “Investigation of some integrals of the equation dw/dt = l/[w−λ(t)],” Uchen. Zap. Novosibirsk. Ped. Instituta,8 (1949).

  3. P. P. Kufarev, V. V. Sobolev, and L. V. Sporysheva, “On a method of investigating extremal problems for functions, one-sheeted on a half plane,” Questions in the Geometrical Theory of Functions, Trudy Tomsk. Univ.,200, No. 5 (1968).

  4. V. V. Sobolev, “Domain of values of a system of functionals on the class of functions one-sheeted on a half plane,” Materialy Nauchn. Konfer. Prepodavat. Matem. Kafedr Inst. Sibir., Novokuznetsk (1969).

  5. F. Hausdorff, Set Theory, Chelsea.

  6. N. A. Lebedev, “On domains of values of functionals given on classes of analytic functions,” Author's Abstract of Dissertation, Leningrad (1955).

  7. V. V. Golubev, Lectures on the Analytic Theory of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

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  8. V. V. Sobolov, “On the method of variation of parameters of P. P. Kufarev in a class of functions; one-sheeted on a half plane,” Materialy Nauchn. Konfer. Prepodavat. Matem. Kafedr Inst. Sibir., Novokuznetsk (1969).

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Authors and Affiliations

  1. Donets Computing Center, Academy of Sciences, Ukrainian SSR, Ukraine

    I. A. Aleksandrov & V. V. Sobolev

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  1. I. A. Aleksandrov
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  2. V. V. Sobolev
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Translated from Ukrainakii Matematicheskii Zhurnal, Vol, 22, No. 3, pp. 253–266, May–June, 1970.

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Aleksandrov, I.A., Sobolev, V.V. Extremal problems for certain classes of functions one-sheeted in the half plane. Ukr Math J 22, 253–266 (1970). https://doi.org/10.1007/BF01088945

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  • DOI: https://doi.org/10.1007/BF01088945

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