Professor Levan Magnaradze

(22.06.1913, Akhal-Senaki - 6.02.2002, Tbilisi)



EDUCATIONAL AND SCIENTIFIC DEGREES

1930 - 1934 Student of Tbilisi State University
Faculty of Physics and Mathematics
1934 Diploma in Mathematics, Tbilisi State University
1939 Ph. D. in Mathematics
1940 Acquired the rank of Docent
1946 Acquired the rank of Senior Researcher
1986 Dr. Sci. (Phys.& Math.)
1989 Acquired the rank of Professor



LANGUAGES

Georgian, Russian, (German, English, French, Italian - satisfactory)



POSITIONS HELD AND ACADEMIC EXPERIENCE

1935 - 1940 Assistant of Faculty of Physics and Mathematics of Tbilisi State University
1936 - 1936 Junior Researcher of Tbilisi Institute of Geophysics of Georgian Academy of Sciences
1936 - 1940 Junior Researcher of Tbilisi Mathematical Institute of Georgian Academy of Sciences
1940 - 1950 Senior Researcher of Tbilisi Mathematical Institute
1950 - 1967 Docent, Professor of Faculty of Mechanics and Mathematics of Tbilisi State University
1964 - 1967 Dean of Faculty of Mechanics and Mathematics of Tbilisi State University
1967 - 1990 Head of Department of I.N. Vekua Institute of Applied Mathematics of Tbilisi State University
1990 - 2002 Principal Researcher of I.N. Vekua Institute of Applied Mathematics of Tbilisi State University



RESEARCH INTERESTS

Mathematical Analysis, Mathematical Physics



PRIZES AND AWARDS

1946 The Badge of Honour
1946 Medal for Labour Heroism in the Great Patriotic War 1941-1945
1983 Diploma of Presidium of the Georgian SSR Supreme Soviet
Acad. I. Javakhishvili Medals
Honoured Scientist of Georgia



MEMBERSHIP IN SCIENTIFIC SOCIETIES

1962 - 1976 Scientific Secretary, Vice-President of Georgian Mathematical Society
1976 - 1991 President of Georgian Mathematical Society
1991 - 1996 President of the Georgian Mathematical Union
1996 - 2002 Honorary President of the Georgian Mathematical Union



EDITORIAL ACTIVITIES

Editor-in-Chief of Basic Scientific Publications of I.N. Vekua Institute of Applied Mathematics of Tbilisi State University



MAIN PUBLICATIONS

  1. Problem of oscillation of an elastic half-plane. (Russian) Dokl. Akad. Nauk SSSR 2(1935), 505-509.
  2. Les problemes fondamentaux de la theorie de l'elasticite a deux dimensions pour les contours a points anguleux. (French) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 16(1937), 149-153.
  3. Basic problems of the plane theory of elasticity for contours with angular points. (Russian) Trudy Inst. Math. Tbilissi 4(1938), 43-76.
  4. Solution of the fundamental problems of plane theory of elasticity in the case of contours with corners. (English) C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 19(1938), 673-676.
  5. Some boundary value problems of mathematical physics for planes with angular points. (Russian) Trudy Inst. Math. Tbilissi 7(1940), 25-46.
  6. The Dirichlet problem as a limiting case of the Cauchy-Dirichlet problem for a wave equation, a thermal conductivity equation and similar equations. (Russian) Trudy Tbilissi Mat. Inst. 11(1942), 73-96.
  7. On one new integral equation of the aircraft wing theory. (Russian) Soobshch. Akad. Nauk Gruz. SSR 3(1942), 503-508.
  8. On one system of linear singular integral differential equations and on the Riemann linear boundary value problem. (Russian) Soobshch. Akad. Nauk Gruz. SSR 4(1943), 3-9.
  9. The theory of one class of linear singular integral differential equations and its application to the problem of the aeroplane wing oscillation of finite amplitude, shock onto a water surface and analogous. (Russian) Soobshch. Akad. Nauk Gruz. SSR 4(1943), 103-110.
  10. On efficient solutions of the Cauchy problem for some linear partial differential equations of hyperbolic type. (Georgian, Russian) Soobshch. Akad. Nauk Gruz. SSR 5(1944), 247-251.
  11. On a general representation of regular solutions of some linear partial differential equations with imaginary characteristics. (Georgian, Russian) Soobshch. Akad. Nauk Gruz. SSR 5(1944), 365-372.
  12. On asymptotic representation of solutions of some linear partial differential equations of normal hyperbolic type with large value of parameter. (Georgian, Russian) Soobshch. Akad. Nauk Gruz. SSR 5(1944), 667-676.
  13. The Abelian theorem for the double Laplace transformation. (Russian). Soobshchen. (Russian) Soobshch. Akad. Nauk Gruz. SSR 8(1947), 113-119.
  14. On one generalization of the Plemelj-Privalov's theorem. (Russian) Soobshch. Akad. Nauk Gruz. SSR 8(1947), 509-516.
  15. Direct and inverse limiting theorems for double integral transformations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 527-532.
  16. On one linear Riemann-Hilbert boundary value problem. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 585-590.
  17. On the tangential derivative of simple layer logarithmic potential. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 591-596.
  18. On one linear boundary value problem of the theory of functions of a complex variable. (Russian) Dokl. Akad. Nauk SSSR, n. Ser. 64(1949), 17-20.
  19. On one generalization of I.I. Privalov's theorem and its application to certain linear boundary value problems of the theory of functions and to singular integral equations. (Russian) Dokl. Akad. Nauk SSSR 69(1949), 657-660.
  20. On A. M. Razmadze's theorem. (Russian) Trudy Tbilis. Univ. 56(1955), 1-12.
  21. Development of mathematical sciences in Georgia (with Chogoshvili, G.S.). (Georgian) Tbilis. Univ., 1957, 485-611.
  22. Outstanding scientist and public figure. On the occasion of V.D.Kupradze's 50th birthday. (with Gokieli L.P. ). (Georgian) Tbilis. Univ., 1963, 3-21.
  23. On general representations of regular solutions of some nonstationary equations in Banach spaces by means of harmonic and analytic functions. (Russian) Appl. Theory Functions Continuum Mech., Proc. Int. Sympos. Tbilisi 1963, 2, 323-330 (1965).
  24. On A. Zygmund's inequality for generalized conjugate functions representable by Stieltjes singular integrals. Trudy Tbilis. Univ. 117(1966), 369-381.
  25. The Stieltjes singular integral in the sense of generalized principal value and (C, a)- summation of Fourier-Stieltjes series. (Russian) Trudy Tbilis. Univ. 129(1968), 27-46.
  26. On general representations of some classes of solutions of linear nonstationary differential equations of higher order in Banach spaces by means of harmonic and analytic functions. (Russian) Abstracts of reports of the seminar of Institute of Applied Mathematics of Tbilisi State University, 1969, No. 1, 11-24.
  27. General representations of some classes of solutions of linear instationary partial differential equations and a new method to solve Cauchy-Dirichlet and analogous problems. (Russian) Tr. Inst. Prikl. Mat. 2(1969), 71-92.
  28. On one class of nonstationary functional equations in the Banach space on a differentiable manifold. Abstracts of reports of the seminar of Institute of Applied Mathematics of Tbilisi State University, 1970, No. 2, 53-63.
  29. On general representations of linear differential equations of nonstationary and nonhomogeneous fields by means of harmonic and analytic functions. (Russian) Abstracts of reports of the seminar of Institute of Applied Mathematics of Tbilisi State University, 1970, No. 3, 49-57.
  30. To the theory of boundary value problems for some n on-homogeneous stationary and non-stationary fields. (Russian) Annot. Dokl. Sem. Inst. Prikl. Mat., Tbilis. Univ. 4(1971), 63-74.
  31. On new formulas analogous to those of G.V. Kolosov, N.I. Muskhelishvili, I.N. Vekua, et al. for some basic nonhomogeneous, isotropic, stationary and nonstationary physical fields. (Russian) Abstracts of reports of the seminar of Institute of Applied Mathematics of Tbilisi State University, 5(1971), 37-46.
  32. On some countably normed spaces and their applications in the theory of conjugate functions. (Russian) Annotacii Dokladov, Sem. Inst. priklad. Mat, Tbilis. Univ. 6(1972), 57-62.
  33. Non-stationary boundary value problems of the theory of analytic functions and some of their applications. (Russian) Annotacii Dokladov, Sem. Inst. priklad. Mat., Tbilis. Univ. 7(1973), 75-82.
  34. On the solution of boundary value problems for some weakly non-homogeneous elastic bodies. (Russian) Annotacii Dokladov, Sem. Inst. priklad. Mat., Tbilis. Univ. 8(1973), 47-52.
  35. On one class of boundary value problems of the theory of analytic functions and their applications to some two-dimensional non-homogeneous physical fields. (Russian) Annot. Dokl., Sem. Inst. Prikl. Mat., Tbilis. Univ. 9(1974), 67-80.
  36. On the solution of some operational equations, having applications to weakly non-homogeneous elastic and analogues fields. (Russian) Annot. Dokl., Sem. Inst. Prikl. Mat., Tbilis. Univ. 10(1975), 83-93.
  37. On boundary value problems for weakly inhomogeneous elastic shells and plates. (Russian) Proc. of the Xth All-Union Conference of the theory of shells and plates. I, Kutaisi, September 22-29, 1975, 206-213.
  38. On some boundary problems of the theory of analytic functions having applications to the nonhomogeneous elastic and other fields. (Russian) Studies of some equations of mathematical physics, No. 3, Work Collect., Tbilisi 1976, 71-130.
  39. A new representation of a pair of analytic functions and its applications. (Russian) Dokl., Semin. Inst. Prikl. Mat. 14(1980), 25-36.
  40. Construction of a general representation of the solutions of one class of plane elliptic systems of differential equations and of the matrices of their fundamental solutions. (Russian) Dokl., Semin. Inst. Prikl. Mat. 14(1980), 57-63.
  41. Achievements of mathematical sciences in Georgia for sixty years. (Russian) Vopr. Istor. Estestvozn. Tekh. 1982, No. 4, 34-39.
  42. Astronomy and Mathematics. (Georgian) Bull. Abastumani Astrophys. Observat. 56(1983), 227-236.
  43. On some solutions of basic equations of the plane theory of inhomogeneous isotropic elasticity. (Russian) Dokl., Semin. Inst. Prikl. Mat. 18(1984), 65-73.
  44. A remark on the global solution of the Cauchy problem for quasilinear Burger's equation by the method of Hopf and Cole. (Russian) Dokl., Semin. Inst. Prikl. Mat. 19(1985), 63-69.
  45. Influence of I.N. Vekua's creative work on the development of some branches of mathematical analysis. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 1(1985), No. 1, 7-24.
  46. On methods of the complex analysis used in solving the spatial mathematical problems for some inhomogeneous deformable bodies. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 2(1986), No. 1, 7-10.
  47. Some boundary value problems of the complex analysis and mathematical questions of astrophysics. (Russian) Proc. of All-Union Symposium "Partial Differential Equations and Their Applications" (Tbilisi, 1982), Tbilisi State University, 1986, 113-121.
  48. General representations of solutions of some systems of elliptic equations by means of analytic functions of one complex variable having applications to boundary value problems of the theory of inhomogeneous elastic bodies. (Russian) Dokl., Semin. Inst. Prikl. Mat. 20(1986), 7-13.
  49. General representations of solutions of some systems of partial differential equations using analytic functions of one complex variable having applications to boundary value problems of the theory of motions of inhomogeneous viscous fluids. (Russian) Dokl., Semin. Inst. Prikl. Mat. 20(1986), 55-63.
  50. Singular Stieltjes integrals in Banach spaces and some of their applications. (Russian) Dokl., Semin. Inst. Prikl. Mat. 20(1986), 71-80.
  51. An asymptotic property of solutions of some classes of linear ordinary differential equations and linear Volterra integral equations. (Russian) Dokl., Semin. Inst. Prikl. Mat. 20(1986), 81-84.
  52. Majorant series in the method of successive approximations for some classes of nonlinear ordinary and partial differential equations and Volterra integral equations in Banach space. (Russian) Dokl., Semin. Inst. Prikl. Mat. 20(1986), 85-90.
  53. To the theory of analytic functions representable by the Cauchy type integrals. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 3(1988), No. 1, 108-110.
  54. To the theory of the Fourier conjugate series. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 3(1988), No. 2, 108-113.
  55. To the method of successive approximations for the solution of differential and integral equations. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 3(1988), No. 3, 103-107.
  56. Reduction of the solution of boundary value problems for some classes of partial linear analytic differential equations to the solution of an equivalent system of singular integral equations of normal type. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 4(1989), No. 1, 35-38.
  57. On some integral representations of analytic functions and their application to the theory of elasticity. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 4(1989), No. 2, 123-126.
  58. On analytic functions representable by Cauchy-Stieltjes type singular integrals. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 5(1990), No. 1, 118-124.
  59. On the Fourier integral transformations with non-summable weight. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 5(1990), No. 2, 79-85.
  60. To the Cauchy problem for ordinary differential equations of non-Lipschitz class from the Banach space. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 5(1990), No. 3, 108-113.
  61. On one elliptic system of partial differential equations. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 6(1991), No. 1, 49-52.
  62. Plane problems for multi-connected inhomogeneous isotropic elastic bodies. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 6(1991), No. 2, 99-103.
  63. New classes of generalized polyanalytic and polyharmonic functions. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 7(1992), No. 1, 33-36.
  64. The Bochner and Pettis singular integrals and their application to the theory of probability. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 7(1992), No. 2, 44-47.
  65. The Caratheodory generalized conditions on the solvability of the Cauchy problem for ordinary differential equations. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 7(1992), No. 3, 71-72.
  66. On one class of elliptic linear systems of partial differential equations in the Banach noncommutative algebra. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 8(1993), No. 1.
  67. A new method of constructing the fundamental matrix solutions of systems of basic differential equations of statics and harmonic oscillations of inhomogeneous isotropic elastic bodies, shells viscous liquids for two-dimensional and having axial symmetry three-dimensional shells. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 8(1993), No. 2.
  68. To the A.N. Kolmogorov's axiomatics in the theory of probability. (Russian) Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 8(1993), No. 3.
  69. Some classes of linear partial differential equations with two and three independent variables and the application. Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 10(1995), No. 1, 59-60.
  70. Some new results in Linear Theory of homogeneous and nonhomogeneous isotropic elastic shells becoming by methods of the Theory of Boundary value problems of analytic functions of complex variable. Reports of enlarged sessions of the seminar of I.Vekua Inst. Appl. Math., Tbilisi State Univ. 10(1995), No. 2, 21-25.