Ramazan Abdulaev

(1936 - 2004)

 

Personal Data:

Date of Birth: November 22, 1936
Place of Birth: Tbilisi, Georgia
Nationality: Georgian
Marital Status: Married

 

Education and Scientific Degree:

1955 - 1960 Student of Tbilisi State University, Faculty of Mechanics and Mathematics
June, 1960 Diploma with honours in Mathematics
1960 - 1963 Post-graduate student at Perm State University
June, 1964 Ph. D. in Mathematics, Novosibirsk State University

 

Languages:

Georgian, Russian, German, English

 

Positions Held and Academic Experience:

1963 - 1969 Junior Researcher of the Department of Function Theory at A. Razmadze 
Mathematical Institute of Georgian Academy of Sciences
1969 - 1989 Senior Researcher of the same department
1989 - present Leading Researcher of the same department


Research Areas:

Boundary value problems for analytic function on Riemann surfaces;

Theory of minimal surfaces.

 


List of Main Publications

  1. The inhomogeneous Riemann boundary problem with discontinuous coefficients. (Russian) Trudy Grus. Politech. Inst. 81(1962), No. 1, 31-35.
  2. Boundary value problems for analytic functions on finite Riemann surfaces. (Russian) Uchon. Zapis. Perm Gos. Univ. 22(2)(1962), 3-9.
  3. Sokhotski problem on open Riemann surfaces. (Russian) Uchon. Zapis. Perm. Gos. Univ., 1963, No. 103, 3-6.
  4. Riemann problem on open Riemann surfaces. (Russian) Uchon. Zapis. Perm. Gos. Univ., 1963, No. 103, 143-146.
  5. On the solvability condition of the Riemann homogeneous problem on closed Riemann surfaces. (Russian) Dokl. Akad. Nauk SSSR 152(1963), 1279-1281; English transl.: Sov. Math. Dokl. 4(1963), 1525-1528.
  6. Solvability conditions for the homogeneous Riemann problem on closed Riemann surfaces. (Russian) Soobshch. Akad. Nauk Gruz. SSR 35(1964), 519-522.
  7. The homogeneous Riemann problem on closed Riemann surfaces. (Russian) Dokl. Akad. Nauk SSSR 160(1965), 983-985; English transl.: Sov. Math. Dokl. 6(1965), 206-209.
  8. The discontinuous Riemann-Hilbert problem for analytic functions on a Riemann surface. (Russian) Dokl. Akad. Nauk SSSR 172(1967), 751-754; English transl.: Sov. Math. Dokl. 8(1967), 144-148.
  9. A problem of minimal surface theory. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 53(1976), 5-14.
  10. On the spherical image of a surface with minimal area. (Russian) Differential and integral equations. Boundary value problems. Collect. articles, dedic. Mem. I. N. Vekua, Tbilisi, 1979, 5-9.
  11. On a mixed boundary value problem for the equation of minimal surfaces in non-convex domains. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 66(1980), 7-14.
  12. On solutions of a minimal surface equation with an infinite gradient on the boundary of the domain. (Russian) Soobshch. Akad. Nauk Gruz. SSR 110(1983), 257-260.
  13. Boundary properties of analytic functions parametrizing a minimal surface. (Russian) Differentsial'nye Uravneniya 21(1985), No. 1, 3-9; English transl.: Differ. Equations 21(1985), 1-5.
  14. On a criterion of local minimization of the area of a surface. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 82(1986), 3-7.
  15. Necessary solvability conditions for the Dirichlet problem related to an equation of minimal surface in polygonal domains. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 88(1989), 3-14.
  16. Parametrization of a family of minimal surfaces bounded by the broken lines in R3. Georgian Math. J. 4(1997), No. 3, 201-218.
  17. The Morse formula for curves which are not locally simple. Georgian Math. J. 7(2000), No. 4, 599-608.
  18. Polymersions of a disk with critical points on the boundary. Georgian Math. J. 8(2001), No. 1, 1-11.
  19. On one theorem of S. Warschawski. Georgian Math. J. 10 (2003), No. 1, 1-15.