Literature cited
Yu. D. Sokolov, Method of Averaging Functional Corrections [in Russian], Naukova Dumka, Kiev (1967).
N. S. Kurpel', Projection—Iteration Methods of Solving Operator Equations [in Russian], Naukova Dumka, Kiev (1968).
A. Yu. Luchka, Theory and Application of the Method of Averaging Functional Corrections [in Russian], Academy of Sciences of the Ukrainian SSR, Kiev (1963).
L. A. Ladyzhenskii, “General conditions for complete continuity of P. S. Uryson's operator, operating in the space of continuous functions,” Dokl. Akad. Nauk SSSR.,96, No. 6 (1954).
F. Riesz and B. v. Sz. Nagy, Lectures on Functional Analysis [Russian translation], Moscow (1954). Original available in French as: Leçons d'analyse fonctionelle, 3rd ed., Gauthier-Villars, Paris (1955).
N. V. Azbelev, and Z. B. Tsalyuk, “On integral inequalities,” Matem. Sb.,56 (98), No. 3 (1962).
V. S. Blinchevskii, “On a boundary-value problem for a system of ordinary differential equations,” Differents. Uravnen.,4, No. 5 (1968).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 152–160, March–April, 1974.
Rights and permissions
About this article
Cite this article
Vityuk, A.N. Approximate solution of a generalized Cauchy problem by the method of averaging functional corrections. Ukr Math J 26, 123–130 (1974). https://doi.org/10.1007/BF01085710
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085710