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Method of successive approximations for linear equations of the first kind in Hilbert space

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Literature cited

  1. A. N. Tikhonov, V. K. Ivanov, and M. M. Lavrent'ev, “Incorrectly formulated problems,” in: Partial Differential Equations, Proceedings of the Symposium Devoted to 60th Anniversary of Academician S. A. Sobolev [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. G. M. Fikhtengol'ts, Course of Differential and Integral Calculus [in Russian], Vol. 2, Nauka, Moscow (1970).

    Google Scholar 

  3. V. M. Fridman, “Method of successive approximations for the Fredholm integral equation of the first kind,” Usp. Matem. Nauk,11, No. 1 (1956).

  4. M. M. Lavrent'ev, On Incorrectly Formulated Problems of Mathematical Physics [in Russian], Izd. SO AN SSSR, Novosibirsk (1962).

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  5. Yu. T. Antokhin, “On problems of analytical theory of equations of the first kind,” Diff. Urav.,2 No. 2 (1966).

  6. A. B. Bakushinskii, “A general method of construction of regularization algorithms for linear incorrectly formulated equations in Hilbert space,” Zh. Vych. Matem. i Matem. Fiz.,7, No. 3 (1967).

  7. M. A. Krasnosel'skii, “Solution of equations with self-adjoint operators by the method of successive approximations,” Usp. Matem. Nauk,15. No. 3 (1961).

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Authors and Affiliations

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

    L. B. Malanyuk

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  1. L. B. Malanyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 541–543, July–August, 1975.

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Malanyuk, L.B. Method of successive approximations for linear equations of the first kind in Hilbert space. Ukr Math J 27, 444–446 (1975). https://doi.org/10.1007/BF01085596

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  • DOI: https://doi.org/10.1007/BF01085596

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