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
- Problem of oscillation of an elastic half-plane.
(Russian) Dokl. Akad. Nauk SSSR 2(1935), 505-509.
- 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.
- Basic problems of the plane theory of elasticity for contours with
angular points.
(Russian) Trudy Inst. Math. Tbilissi 4(1938), 43-76.
- 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.
- Some boundary value problems of mathematical physics for planes with
angular points.
(Russian)
Trudy Inst. Math. Tbilissi 7(1940), 25-46.
- 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.
- On one new integral equation of the aircraft wing theory.
(Russian)
Soobshch. Akad. Nauk Gruz. SSR 3(1942), 503-508.
- 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.
- 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.
- 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.
- 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.
- 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.
- The Abelian theorem for the double Laplace transformation. (Russian).
Soobshchen.
(Russian)
Soobshch. Akad. Nauk Gruz. SSR 8(1947), 113-119.
- On one generalization of the Plemelj-Privalov's theorem.
(Russian) Soobshch. Akad. Nauk Gruz. SSR 8(1947), 509-516.
- Direct and inverse limiting theorems for double integral
transformations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 527-532.
- On one linear Riemann-Hilbert boundary value problem.
(Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 585-590.
- On the tangential derivative of simple layer logarithmic
potential. (Russian) Soobshch. Akad. Nauk Gruz. SSR 9-10(1947), 591-596.
- 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.
- 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.
- On A. M. Razmadze's theorem. (Russian) Trudy Tbilis. Univ.
56(1955), 1-12.
- Development of mathematical
sciences in Georgia (with Chogoshvili, G.S.).
(Georgian) Tbilis. Univ., 1957, 485-611.
- 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.
- 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).
- On A. Zygmund's inequality for generalized conjugate
functions representable by Stieltjes singular integrals. Trudy Tbilis. Univ.
117(1966), 369-381.
- 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.
- 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.
- 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.
- 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.
-
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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- A new representation of a pair of analytic functions and
its applications. (Russian)
Dokl., Semin. Inst. Prikl. Mat. 14(1980), 25-36.
- 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.
- Achievements of mathematical sciences in Georgia for
sixty years. (Russian) Vopr. Istor. Estestvozn. Tekh. 1982, No. 4, 34-39.
- Astronomy and Mathematics. (Georgian) Bull. Abastumani
Astrophys. Observat. 56(1983), 227-236.
- On some solutions of basic equations of the plane theory
of inhomogeneous isotropic elasticity. (Russian)
Dokl., Semin. Inst. Prikl. Mat. 18(1984), 65-73.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Singular Stieltjes integrals in Banach spaces and some
of their applications. (Russian)
Dokl., Semin. Inst. Prikl. Mat. 20(1986), 71-80.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.