Literature Cited
M. I. Nechepurenko, “Chebyshev's method for functional equations,” Uspekhi Matem. Nauk,9, 163–170 (1954).
É. É. Tamme, “The approximate solution of functional equations by the method of expansion in a series in the inverse operator,” Doklady Akad. Nauk SSSR,103, No. 5, 769–772 (1955).
Yu. Ya. Kaazik and É. É. Tamme, “A method for the approximate solution of functional equations,” Doklady Akad. Nauk SSSR,101, No. 6, 981–984 (1955).
V. A. Kurchatov, “A method for solving nonlinear functional equations,” Doklady Akad. Nauk SSSR.189, No. 2, 247–249 (1969).
A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1972).
I. S. Berezin and N. P. Zhidkov, Computational Methods [in Russian], Nauka, Moscow (1966).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 5, pp. 1143–1151, September–October, 1974.
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Kurchatov, V.A. The approximate solution of nonlinear functional equations by the method of iterations with a varying iteration operator. Sib Math J 15, 804–809 (1974). https://doi.org/10.1007/BF00966441
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DOI: https://doi.org/10.1007/BF00966441