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An application of the method of polynomial operators to the approximation of solutions of the ballistic problem of Nicliborc

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Literature cited

  1. W. Nicliborc, “Über die System der differenzialgleichungen,” Acad. der Wiss, Zu Leipzig, Math.-Phys, Kb.,82 (1930).

  2. V. K. Dzyadyk, “On the application of linear methods to the approximation of polynomial solutions of ordinary differential equations and Hammerstein integral equations,” Izv. Akad. Nauk SSSR, Ser. Matem.,34, No. 4 (1970).

  3. V. K. Dzyadyk, “On the application of linear methods to the approximation of polynomial functions which are solutions of second order Fredholm integral equations. I,” Ukrainsk. Matem. Zh.,22, No. 4 (1970).

  4. V. K. Dzyadyk, “On the application of linear methods to the approximation of polynomial functions which are solutions of second order Fredholm integral equations. II,” Ukrainsk. Matem. Zh.,22, No. 5 (1970).

  5. A. P. Makhmudov and V. M. Musaev, “On the theory of solutions of nonlinear integral equations of Volterra-Urysohn type,” Dokl. Akad. Nauk AzerbSSR,25, No. 5 (1969).

  6. A. I. Perov and A. P. Makhmudov, “On a boundary value problem,” Different. Urav.,2, No. 3 (1966).

  7. A. P. Makhmudov, “On some special problems for ordinary differential equations,” Dokl. Akad. Nauk AzerbSSR,24, No. 10 (1968).

  8. A. P. Makhmudov, “On the approximation of solutions of the Nicliborc ballistics problem by Bernstein polynomials,” Trudy IV Kazakhstan. Mezhvyzovsk. Nauch. Conf. Matem. i Mech., Ser. Matem., Alma-Ata (1971).

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Authors and Affiliations

  1. Azerbaidzhanskii State University, USSR

    A. P. Makhmudov

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  1. A. P. Makhmudov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27; No. 3, pp. 337–347, May–June, 1975.

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Makhmudov, A.P. An application of the method of polynomial operators to the approximation of solutions of the ballistic problem of Nicliborc. Ukr Math J 27, 270–278 (1975). https://doi.org/10.1007/BF01092084

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  • DOI: https://doi.org/10.1007/BF01092084

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