Ukrainian Mathematical Journal

, Volume 29, Issue 1, pp 58–67 | Cite as

Approximate solution of two-element boundary-value problems with a shift

  • N. Ya. Tikhonenko


Approximate Solution 
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Literature cited

  1. 1.
    D. A. Kveselava, “Some boundary-value problems in the theory of functions,” Trudy Tbilisskogo Mate-maticheskogo In-ta,16, 33–80 (1948).Google Scholar
  2. 2.
    N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1968).Google Scholar
  3. 3.
    F. D. Gakhov, Boundary-Value Problems [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
  4. 4.
    G. S. Litvinchuk and É. G. Khasabov, “On a type of singular integral equation.” Sib. Mat Zh.,5, No. 3, 608–625 (1964).Google Scholar
  5. 5.
    A. B. Bakushinskii, “Some questions on approximate solutions of integral equations with a ‘weak’ singularity,” in: Numerical Methods and Programming [in Russian], VTs MGU,10, 9–15 (1968).Google Scholar
  6. 6.
    N. Ya. Tikhonenko, “Approximate solution of the Haseman problem,” Ukr. Mat. Zh.,26, No. 6, 842–845 (1964).Google Scholar
  7. 7.
    N. Ya. Tikhonenko, ‘Approximation solution of boundary-value problems with a shift,” in: Theses of the Scientific Conference on Numerical Mathematics in Contemporary Scientific-Technical Progress, Vol. 2, Kanev (1974), pp. 226–231.Google Scholar
  8. 8.
    L. Ya. Tikhonenko, “A planar mixed problem of heat conduction in a wedge,” Differents. Uravnen.,9, No. 10 (1973).Google Scholar
  9. 9.
    G. Ya. Popov and L. Ya. Tikhonenko, “A planar problem of contact of a semi-infinite beam with an elastic wedge,” Prikl. Mat. Mekh.,38, No. 2 (1974).Google Scholar
  10. 10.
    V. A. Zolotarevskii, “On convergence of the collocation method for systems of singular integral equations,” Matem. Issled.,1(31), 56–57 (1974).Google Scholar
  11. 11.
    B. G. Gabdulkhaev, “Some questions in the theory of approximate methods. I,” Izv. Vyssh. Uchebn. Zaved., Matematika,9, 16–28 (1968).Google Scholar
  12. 12.
    B. G. Gabdulkhaev, “Some questions in the theory of approximate methods. IV,” Izv. Vyssh, Uchebn. Zaved., Matematika,6, 15–23 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • N. Ya. Tikhonenko
    • 1
  1. 1.Odessa State UniversityUSSR

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