Prof. BORIS KHVEDELIDZE

7.XI.1915 - 27.III.1993



EDUCATION AND SCIENTIFIC DEGREES

1924-1926 Pupil of Tbilisi 33rd school of working youth
1926-1931 Pupil of the 9th school of working youth (subsequently, of the II pedagogical technical secondary school)
1933-1938 Student of Tbilisi State University Faculty of Physics and Mathematics
1938 Diploma in Mathematics, Tbilisi State University
1938-1941 Post-graduate student of Mathematical Institute of Georgian division of the USSR Academy of Sciences
1942 Cand. Sci. (Phys. & Math.)
1942 Docent of Tbilisi State University
1957 Doctor in Mathematics
1959 Conferred the rank of professor



POSITION HELD AND ACADEMIC EXPERIENCE

1931-1933 Librarian of the fundamental library of Polytechnical Institute
1938 Assistant at the Chair of Higher Mathematics of Georgian Agricultural Institute
1939-1942 Assistant at the Chair of Mathematical Analysis of Tbilisi State University
1942-1943 Junior researcher of Mathematical Institute of Georgian SSR Academy of Sciences
1942-1952 Senior researcher of Mathematical Institute of Georgian SSR Academy of Sciences
1945-1948 Scientific secretary of the same institute
1952-1954 Mathematics teacher of Kaplanbek zooveterinary technical secondary school of Sari-Agab district of Kazakhstan region
1957-1984 Head of Department of Theory of Functions and Functional Analysis of A. Razmadze Mathematical Institute of Georgian Academy of Sciences
1984-1990 Head of Department of Methods of a Complex Analysis of A. Razmadze Mathematical Institute of Georgian Academy of Sciences
1962-1967 Head of Chair of Higher Mathematics of Georgian Polytechnical Institute
1967-1980 Head of Chair of Mathematics and Mechanics, faculty for raising the level of pedagogical skill of teachers of higher educational institutions at Tbilisi State University
1980-1993 Professor of Chair of Algebra and Geometry of Abkhazian State University
1990-1993 Counsillor of the director of A. Razmadze Mathematical Institute



RESEARCH INTERESTS

Theory of partial differential equations, theory of integral equations, mathematical physics, boundary value problems of the theory of analytic functions, singular integrals and singular integral equations



MEMBERSHIP IN SCIENTIFIC ACADEMIES

1967 Corresponding member of the Georgian Academy of Sciences
1983 Academician of the Georgian Academy of Sciences



PRIZES AND AWARDS



MEMBERSHIP IN SCIENTIFIC SOCIETIES



MAIN PUBLICATIONS

(i) Monographs and Memoirs

  1. Linear discontinuous boundary value problems of function theory, singular integral equations and some of their applications. (Russian) Trudy Tbiliss. Mat. Inst. 23(1956), 3-158.
  2. Cauchy type integral method for discontinuous boundary value problems of the theory of holomorphic functions of one complex variable. (Russian) Itogi Nauki i Tekhniki. Sovremen. Probl. Mat. T. 7, 5-162. English translation: In: J. Sov. Math. 7(1977), 309-414.

    (ii) Papers


  3. On the Poincare boundary value problem of the logarithmic potential theory. (Russian) Dokl. Akad. Nauk SSSR 30(1941), No. 3.
  4. On the Poincare boundary value problem of the logarithmic potential theory for multi-connected domains. (Russian) Soobshch. Akad. Nauk Gzuz. SSR 2(1941), No. 7, 571-578.
  5. On the Poincare boundary value problem of the logarithmic potential theory. Second announcement. (Russian) 2(1941), No. 10.
  6. Solution of one boundary value problem of the Newton potential theory by the method of Acad. N.I. Muskhelishvili. (Russian) Trudy Tbiliss. Gos. Univ. 23(1942), 65-177.
  7. On one Riemann linear boundary value problem for a system of analytic functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR 4(1943), No. 4, 289-296.
  8. Poincare problem for the second order linear differential equation of elliptic type. (Russian) Trudy Tbiliss. Gos. Univ. 12(1943).
  9. Some properties of singular integrals in the sense of the Cauchy-Lebesgue principal value. (Russian) Soobshch. Akad. Nauk Gruz. SSR 8(1947), No. 5, 283-290.
  10. Singular integral equations in terms of the Cauchy-Lebesgue singular integrals. (Russian) Soobshch. Akad. Nauk Gruz. SSR 8(1947), No. 7, 424-434.
  11. on one inversion formula. (Russian) Soobshch. Akad. Nauk Gruz. SSR 10(1949), No. 10, 587-591 (with I.N. Kartsivadze).
  12. On the Riemann problem in the theory of analytic functions and singular integral equations with kernels of Cauchy type. (Russian) Soobshch. Akad. Nauk Gruz. SSR 12(1951), No. 2, 69-76.
  13. On a problem of linear conjugation in the theory of analytic functions. (Russian) Dokl. Akad. Nauk SSSR 76(1951), No. 2, 177-180.
  14. On linear singular integral equations with a Cauchy type singular kernel. (Russian) Dokl. Akad. Nauk SSSR 76(1951), No. 3, 367-370.
  15. On the Cauchy type integral. (Russian) Trudy Tbiliss. Mat. Inst. 20(1954), 211-244 (with I.N. Kartsivadze).
  16. On one class of singular integral equations with a Cauchy kernel. (Russian) Soobshch. Akad. nauk Gruz. SSR 15(1954), No. 7, 401-404.
  17. Some composition formulas of singular integrals and their application to the inversion of Cauchy type integrals. (Russian) Soobshch. Akad. Nauk Gruz. SSR 16(1956), No. 2, 81-88.
  18. On the Riemann-Privalov problem in the theory of analytic functions. (Russian) Uspekhi Mat. Nauk 10(1955), vyp. 3, 165-171.
  19. On one Riemann-Privalov discontinuous boundary value problem in the theory of analytic functions. (Russian) Dokl. Akad. Nauk SSSR 102(1955), No. 6, 1081-1084.
  20. On Riemann-Privalov discontinuous boundary value problem with coefficients possessing critical points. (Russian) Dokl. Akad. Nauk SSSR 111(1956), No. 1, 40-43.
  21. Singular integral equations with Cauchy kernels in a class of summable with weight functions. (Russian) Dokl. Akad. Nauk SSSR 111(1956), No 2, 304-307.
  22. On the Riemann-Privalov discontinuous problem for several unknown functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR 17(1956), No. 10, 865-872.
  23. On singular integral equations with Cauchy type kernels in a class of summable with weight functions. (Russian) Trudy 3-go Vsesojuzn. S'ezda I(1956).
  24. On systems of singular integral equations with Cauchy type kernels. (Russian) Soobshch. Akad. Nauk Gruz. SSR 18(1957), No. 3, 129-136.
  25. Note to my paper "Linear discontinuous boundary value problems of the function theory...". (Russian) Soobshch. Akad. Nauk Gruz. SSR 21(1958), No. 2, 129-130.
  26. On the Riemann-Privalov problem with continuous coefficients. (Russian) Dokl. Akad. Nauk SSSR 123(1958), No. 5, 791-796 (with G.F. Manjavidze).
  27. On the Riemann-Privalov discontinuous problem with with a given displacement. (Russian) Soobshch. Akad. Nauk Gruz. SSR 21(1958), No. 4, 385-389.
  28. On the regularization problem in the theory of integral equations with a Cauchy kernel. (Russian) Dokl. Akad. Nauk SSSR 140(1961), No. 1, 66-68.
  29. Some notes to the theory of singular equations with a Cauchy type kernel. (Russian) Soobshch. Akad. Nauk Gruz. SSR 27(1962), No. 2, 129-135 (with D.F. Kharazov).
  30. The Riemann-Privalov boundary value problem with a piecewise continuous coefficient. (Russian) Trudy Gruz. Polytech. Inst. 81(1962), No. 1, 11-29.
  31. On the problem of linear conjugation and singular integral equations of a Cauchy kernel. (Russian) Trudy Tbiliss. Mat. Inst. 28(1962), 85-105 (with G.F. Manjavidze).
  32. On one singular integral operator. (Russian) Soobshch. Akad. Nauk Gruz. SSR 71(1973), No. 1, 33-36 (with E.G. Gordadze).
  33. A Cauchyjevih integralih in o robnih nalogah linearnega kanjugiranja. (Yugoslavia) Obzornik za Math. in fiz., Ljubljana 20(1973), No. 5.
  34. On singular integral operators and regularization problem. (Russian) Trudy Tbiliss. Mat. Inst. 53(1976), 15-37 (with E.G. Gordadze).
  35. On singular integral operators. Research Notes in Math., London 8(1976) (with E.G. Gordadze).
  36. On a problem of linear conjugation and characteristic singular integral equations. (Russian) Sbornik "Compleksnyi analiz i ego prilozhenija", Izd-vo "Nauka", 1978.
  37. On a discontinuous problem of linear conjugation with a piecewise continuous coefficient. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9(1980), No. 3, 529-532 (with E.V. Ishchenko).
  38. Discontinuous boundary value problem of linear conjugation with a piecewise continuous coefficient. (Russian) Trudy Tbiliss. Mat. Inst. 69(1982), 108-128.



TEXTBOOKS

  1. Course of Mathematical analysis. (Georgian). V. I. 1963 (with A.K. Kharadze, V.G. Chelidze and I.N. Kartsivadze).
  2. Course of Mathematical analysis. (Georgian). V. II, 1968. Izd-vo Tbiliss. Univ (with A.K. Kharadze, V.G. Chelidze and I.N. Kartsivadze).



Other Publications

  1. Boundary value problems of the theory of analytic functions of a complex variable, Mathematics in the USSR for 40 years from 1917 to 1957, I(1959), 498-510 (with F.D. Gakhov).
  2. Boundary properties and boundary value problems. History of our mathematics 4(1970), Book I, 211-253 (with A.G. Jvarsheishvili).
  3. One-dimensional singular integral equations. History of our mathematics 4(1970), Book I, 774-785 (with G.F. Manjavidze).
  4. Some classes of integral equations. History of our mathematics 4(1970), Book I, 797-799 (with G.F. Manjavidze).
  5. David Fomich Kharazov. Uspekhi Mat. Nauk 30(1975), vyp. 6, 153-156 (with G.Ja. Areshkin).
  6. Fedor Dmitrievich Gakhov. Unpekhi Mat. Nauk 31(1876), vyp. 4, 289-287 (with G.S. Litvinchuk et al.).
  7. Nikolai Ivanovich Muskhelishvili. Ser. "Georgian Mathematicians", 1980 (with A.V. Bitsadze).
  8. Integral equations. Differential equations 18(1982), No. 12, 2050-2069 (with M.I. Imanaliev et al.).
  9. Kalandia Apollon Iosifovich. Uspekhi Mat. Nauk 37(1982), No. 2, 175-178 (with A.V. Bitsadze).
  10. Ilya Nesterovich Vekua. Trudy Tbiliss. Univ., (1982), 232-233.
  11. A survey on I.N. Muskhelishvili's scientific heritage. Acad. Sciences of Georgian Republic, A. Razmadze Math. Inst., Tbilisi, 1991, 1-45 (with G.F. Manjavidze).

Articles in Mathematical Encyclopaedia
(Izd-vo "Sovetskaja Ensiklopedia")