Professor Georgi Mandjavidze

(6.V.1924 - 13.IV.1999)



EDUCATION AND SCIENTIFIC DEGREES

1931 - 1941 Pupil of Zestafoni Secondary School
1942 - 1947 Student of Tbilisi State University
Faculty of Mechanics and Mathematics
1947 - 1950 Post-Graduate Student of A.Razmadze Mathematical Institute of the Georgian Academy of Sciences
1951 Cand. (Phys. & Math.), Tbilisi State University
1970 Dr. Sci. (Phys. & Math.), Tbilisi State University
1991 Full Professor Tbilisi State University



POSITIONS HELD AND ACADEMIC EXPERIENCE

1950 - 1954 Scientific secretary of the A. Razmadze Mathematical Institute of the Georgian Academy of Sciences
1954 - 1977 The deputy director of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences
1983 - 1999 Head of the Department of Theory of Complex Analysis and its Application



RESEARCH INTERESTS

Boundary value problems of the theory of functions of a complex variable, Singular Integral Equations



PRIZES and AWARDS

1966 Medal for Distinction in Labour
1970 Jubilee Medal
1991 N. Muskhelishvili's Prize for the monograph "Boundary Value Problems of Conjugation with Displacement for Analytic and Generalized Functions", Tbilisi Univ. Press, 1990, 176 p.



MAIN PUBLICATIONS

(i) Monographs

  1. Boundary Value Problems of Conjugation with Displacement for Analytic and Generalized Functions, Tbilisi Univ. Press, 1990, 176 p.

    (ii) Papers


  2. On one class of singular integral equations with discontinuous coefficients. (Russian) Soobshch. AN GSSR, 11(1950), No. 5, 269-274.
  3. On one system of singular integral equations with discontinuous coefficients. (Russian) Soobshch. AN GSSR, 11(1950), No.6, 350-360.
  4. On one singular integral equation with discontinuous coefficients and its application to the theory of elasticity. (Russian) Prikladn. Matem. i Mekh., 15(1951), No.3, 351-356.
  5. On an approximate solution of boundary value problems of the theory of functions of a complex variable. (Russian) Soobshch. AN GSSR, 14(1953), No.10, 577-582.
  6. On an approximate solution of boundary value problems of the theory of analytic functions. Proc. of the III All-Union Mathem. Forum, I(1956), p.88.
  7. On the Riemann-Privalov problem with continuous coefficients (with G. Akhalaia). (Russian) DAN SSSR, 123(1958), No.5, 791-794.
  8. An approximate solution of boundary value problems of the theory of analytic functions. In: "Investigations in modern problems of the theory of functions of a complex variable" by A.I. Markushevich. Moscow, 1960, 365-380.
  9. Mathematical and natural sciences, mathematics and mechanics (with G. Chogoshvili). In: "Science in the Soviet Georgia for 40 years". Acad. of Sciences of the Georgian SSR, Tbilisi, 1961.
  10. On the problem of linear conjugation and singular integral equations with a Cauchy kernel with continuous coefficients (with B. Khvedelidze). Trudy Tbiliss. Mat. Inst. 28(1962), 85-105.
  11. Methods of the theory of analytic functions in some statical problems of elasticity (with A. Kalandia). The II All-Union Congress in the Theoretical and Applied Mechanics. Annotations of reports. Moscow, 1964, 99-100.
  12. Singular integral equations as a tool of solving the mixed problems of the theory of elasticity. Proc. of International Symposium (Tbilisi, 1963). Moscow, 1(1965), 237-247.
  13. Problem of linear conjugation in the plane theory of elasticity. Conference in Mechanics. Annotations of reports. Bucharest, 1965, p.304.
  14. On boundary value problems of linear conjugation with displacement. International Congress of Mathematicians. Theses of Reports. Moscow, 7(1965), p.43.
  15. Review of works in the theory of elasticity (with G. Barenblat, A. Kalandia). In: "Some Basic Problems of the Mathematical Theory of Elasticity" by N.I. Muskhelishvili, Ch. VIII, Nauka, Moscow, 1966.
  16. Boundary value problems of linear conjugation of general type with displacements. Trudy Tbiliss. Mat. Inst. 33(1967), 76-81.
  17. Boundary value problems of linear conjugation with a displacement and its connection with the theory of generalized analytic functions. Trudy Tbiliss. Mat. Inst. 33(1967), 82-87.
  18. On the behaviour of the boundary value problem of linear conjugation. Trudy Tbiliss. Mat. Inst. 35(1969), 173-182.
  19. One-dimensional singular integral equations (with B. Khvedelidze). History of Home Mathematics. Akad. Nauk SSSR i Akad. Nauk Ukr.SSR, 4(1970), I, 774-786.
  20. Boundary value problems of linear conjugation and some of their applications. Thesis of Dissertation submitted for doctor's degree (Phys., Math.), TBilisi State University, 1970.
  21. On the behaviour of derivative solutions of systems of singular integral equations and boundary value problems of the theory of analytic functions. Congress Int. des Mathematicians, Nice, Les 265 Communications Individualles, p. 192.
  22. Statement and methods of the solution of problems of the plane theory of elasticity; basic results of investigation of the plane theory of elasticity (with A. Kalandia). In: Mechanics in the USSR for 50 years", 3(1972), Moscow.
  23. Boundary value problems of linear conjugation with piecewise continuous matrix coefficients. "Continuum Mechanics and Related Problems of Analysis", (Collection of works, dedicated to the 30th Birthday Anniversary of Academician N. I. Muskhelishvili), Nauka, Moscow, 1972.
  24. On the reduction of the boundary value problem of linear conjugation with a displacement to the problem of linear conjugation. DAN SSSR, 234(1977), No.4, 758-760.
  25. On the application of the theory of generalized analytic functions to the boundary problem of conjugation with a displacement. DAN SSSR, 237(1977), No.4, 1285-1289.
  26. On one family of boundary value problems of linear conjugation. (Russian) Soobshch. Akad. Nauk GSSR, 95(1979), No.2, 289-292.
  27. Application of the theory of generalized analytic functions to the investigation of boundary value problems of linear conjugation with displacement. In: Differential integral equations, boundary value problems. (Collection of works dedicated to the memory of I.N. Vekua), Tbilisi State University, 1979.
  28. On some families of boundary value problems of linear conjugation. Reports of Seminar of I. Vekua Inst. of Appl. Math., Tbilisi, 1980, No. 14.
  29. Academician N.I. Muskhelishvili. Society "Znanie", GSSR, Tbilisi, 1981.
  30. Application of methods of the theory of generalized analytic functions to the boundary value problems of linear conjugation with displacement. All-Union Symposium in Partial Differential Equations and Their Applications. Annotations of reports, Tbilisi, 1982, p. 13.
  31. On one class of boundary value problems of linear conjugation. (Russian) Soobshch. AN GSSR, 105(1982), No. 3, 493-496.
  32. On some boundary value problems for nonlinear differential systems of the first order on the plane. In: Boundary value problems of the theory of generalized analytic functions and their applications. Inst. of Appl. Math. Tbiliss. State Univ., 1983.
  33. The boundary value problems of linear conjugation with displacement. Complex analysis and applications. Sofia, 1984, 375-382.
  34. On boundary value problems for nonlinear systems of differential equations on a plane (with W. Tutschke). (Russian) Soobshch. AN GSSR, 113(1984), No.1, 30-32.
  35. Some estimates of the norms of derivatives of holomorphic functions and their application to initial value problems (with W. Tutschke).(Russian) Z. Anal. Anwendungen 3(1984), No. 1, 1-5.
  36. On one differential boundary value problem of the theory of generalized analytic functions (with G. Akhalaia). Reports of Enlarged Seminar of I. Vekua Inst. of Appl. Math. I(1985), No.1.
  37. Boundary value problems of the theory of generalized analytic vectors with angular points. Functional differential equations and their applications. Theses of reports. Dagestan State Univ., Makhachkala, 1986, p.139.
  38. Differential boundary value problem for generalized analytic functions (with G. Akhalaia).(Russian) Trudy Inst. Prikl. Mat. TGU, 21(1987).
  39. Ilia Nesterovich Vekua (to the 80th Birthday Anniversary (with N. Bogoliubov, O. Oleinik, S. Sobolev, B. Khvedelidze).(Russian) Uspekhi Mat. Nauk, 42(1987), No 3.
  40. Boundary value problems of the theory of generalized analytic vectors for domains with angular points (with G. Akhalaia). All-Union Symposium "Modern problems of mathematical physics". Annotations of reports, Tbilisi, 1987, p.4.
  41. Differential boundary value problems for generalized analytic vectors (with Ngo Van Lyoc).All-Union Symposium "Modern problems of mathematical physics". Annotations of reports, Tbilisi, 1987, p.28.
  42. The problem V for generalized analytic vectors (with Ngo Van Lyoc). (Russian) Soobshch. AN GSSR, 128(1987), No. 2, 265-268.
  43. Differential boundary value problems for generalized analytic vectors. Modern problems of mathematical physics. Proc. of All-Union Symposium, Tbilisi State University, v. 2, 1987.
  44. Boundary value problems of the theory of generalized analytic vectors for domains with angular points (with G. Akhalaia). Modern problems of mathematical physics. Proc. of All-Union Symposium, Tbilisi State University, 1987, v. 2.
  45. To Green's identity for generalized analytic vectors (with G. Akhalaia). (Russian) Trudy IPM TGU, 28(1988).
  46. A survey of N.I. Muskhelishvili's scientific heritage. Continuum mechanics and related problems of analysis (with B. Khvedelidze) (Tbilisi, 1991). "Metsniereba", Tbilisi, 1993,
  47. Boundary value problems of the theory of generalized analytic vectors. Functional analytic methods in complex analysis and applications to partial differential equations (Trieste, 1993, 13-51). World Sci. Publishing, River Edge, NJ, 1995.
  48. Ilia Vekua's 90th birthday anniversary. International Symposium on Differential Equations and Mathematical Physics (with R.P. Gilbert, G.V. Jaiani) (Tbilisi, 1997). Memoirs on Differential Equations and Mathematical Physics, 12(1997), 1-10.
  49. On some problems for first order elliptic systems in the plane. Complex methods for partial differential equations (with Akhalaia). Ed. G.W.Begehr, A.O. Celebi and W. Tutschke. Kluwer Academic Publishers, 1999. 57-95.
  50. Boundary value problem with inclined derivative for second order elliptic system in the plane of complex variables (with Akhalaia). Complex Variables, 46(2001), 287-294.