**(2.X.1939 - 27. II. 2013)**

**Education and Scientific Degree:**

1957 - 1962 | Student of Tbilisi State University, Faculty of Mechanics and Mathematics |

1962 | Diploma with honour in Mathematics |

1962 - 1965 | Post-graduate student of Novosibirsk State University |

1967 | Ph.D. in Mathematics, Mathematical Institute of the Siberian Division |

of the Academy of Sciences of USSR | |

1970 | Associated professor, Highest Certifying Commision of USSR |

1972 | Senior Scientific Researcher, Presidium of the Academy of Sciences of USSR |

1981 | Doctor of Mathematics, Highes Certifying Commision of USSR |

1990 | Professor in Differential Equations, The Highers Certifying Commision of USSR |

**Languages:**

Georgian, Russian, German, English

**Positions Held and Academic
Experience:**

1965 | Assistant of the Department of Function Theory of Novosibirsk State University |

1965 - 1967 | Junior Scientific Researcher of the Department of Function Theory at |

Mathematical Institute of Syberian Division of the Academy of Sciences of USSR | |

1967 - 1972 | Senior Scientific Researcher of the same department |

1972 - 1986 | Senior Scientific Researcher of the Department of Equations of |

Mathematical Physics at A. Razmadze Mathematical Institute of Georgian Academy of Sciences | |

1986 - 2000 | Leading Scientific Researcher of the same department |

2000 - 2013 | Leading Scientific Researcher of the Department of Differential Equations at |

A. Razmadze Mathematical Institute of Georgian Academy of Sciences |

**Parts Time Positions:**

1965 - 1967 | Assistant of the Department of "Function Theory" at Novosibirsk State University |

1965 - 1973 | Assosiated professor at the same department |

1973 - 1983 | Associated professor of the Department of "Differential and Integral |

Equations" at Tbilisi State University | |

1983 - 1989 | Professor of the Department of Applied Mathematics at the same University |

1989 - 1992 | Professor of Abkhazian State University |

1990 - present | Professor of the Department of Applied Mathematics at Georgian |

**Research Areas:**

Nonlinear hyperbolic equations;

Quasilinear degenerated hyperbolic and mixed type equations;

Boundary initial and characteristic problems for linear, semilinear and quasilinear equations of

different type

- A contribution to the theorie of boundary value problems for the equations
*y*^{m}+*u*in the large. (Russian)_{xx}+ u_{yy}= k(x,y)e^{u}*Dokl. Akad. Nauk SSSR***167**(1966), 274-277; English transl.:*Sov. Math., Dokl.***7**(1966), 364-367. - On the theory of boundary value problems for a class of quasilinear elliptic
equations degenerate on the boundary. (Russian)
*Differentsial'nye Uravneniya***2**(1966), 24-32; German transl:*Differ. Equations***2**(1966), 11-15. - Global solution of the Tricomi problem for a class of nonlinear differential
equations of mixed type. (Russian)
*Differentsial'nye Uravneniya***3**(1967), 3-10. - On uniqueness of solution of the Tricomi problem for a class of nonlinear
equations. (Russian)
*Dokl. Akad. Nauk SSSR***190**(1970), 259-262; English transl.:*Sov. Math., Dokl.***11**(1970), 65-69. - Some estimates of the magnitude of solutions of nonlinear equations of mixed type.
(Russian)
*Differentsial'nye Uravneniya***6**(1970), 50-55. - Some estimates for equations of mixed type. (Russian)
*Differentsial'nye Uravneniya***8**(1972), 17-23. - Some estimates of the magnitude of solutions of nonlinear equations of mixed type.
*Differential Equations***6**(1972), 40-44. - Some estimates for equations of mixed type.
*Differential Equations***8**(1972), 12-16. - The solutions of elliptic equations that are degenerate on the boundary of the domain. (Russian)
*Differentsial'nye Uravneniya***9**(1973), 18-24. - Solutions of elliptic equations degenerate on the boundary.
*Differential Equations***9**(1974), 13- 17. - The Cauchy problem for a certain quasilinear degenerate equation. (Russian)
*Differentsial'nye Uravneniya***13**(1977), 29-35. - On the global solvability of the Cauchy problem for a nonlinear equation. (Russian)
*Soobshch. Akad. Nauk Gruz. SSR***99**(1980), 553-556. - Global solution of the Cauchy problem for a certain quasilinear degenerate hyperbolic equation
by method of characteristics. (Russian)
*Differentsial'nye Uravneniya***17**(1981), 39-45. - On some classes of quasilinear equations of mixed type. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze***67**(1981), 1-93. - Global solution of Cauchy's problem for a degenerate quasilinear hyperbolic equation by the
method of characteristics.
*Differential Equations***17**(1981), 25-30. - A modified Goursat problem for a degenerate second-order quasilinear hyperbolic equation.
(Russian)
*Differentsial'nye Uravneniya***18**(1982), 285-290; English transl.:*Differ. Equations***18**(1982), 230-233. - Problems with initial and characteristic conditions for hyperbolic equations with nonlinear
principal parts. (Russian)
*Differentsial'nye Uravneniya***19**(1983), No. 1, 22-27; English transl.:*Differ. Equations***19**(1983), 18-21. - On the Cauchy problem for an equation of surface theory. (Russian) Differentsial'nye Uravneniya i Primenen. 34(1983), 9-15.
- On second order nonlinear equations with complete characteristic systems and characteristic
problems for them. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze***87**(1987), 45-53. - On the general integral of a class of nonlinear equations and its applications. (Russian)
*Trudy Tbiliss. Mat. Inst. Razmadze***90**(1988), 68-75. - Some classes of hyperbolic equations and equations of mixed type. (Georgian)
*Metsniereba, Tbilisi,*1992, 1-176. - On the initial Cauchy problem for a quasilinear degenerate hyperbolic equation. (Russian)
*Proc. A. Razmadze Math. Inst.***100**(1992), 59-65. - Application of the general integral of a nonlinear equation with real characteristics in the
investigation of Cauchy and Darboux problem. (Russian)
*Proc. A. Razmadze Math. Inst.***105**(1995), 39-45. - To the theory of boundary value problems for hyperbolic type equations and systems (with S. Kharibegashvili).
*Mem. Differential Equations Math. Phys.***12**(1997), 68-75. - On second order nonlinear equations with rectilinear characteristics.
*Georgian Math. J.***7**(2000), No. 2, 299-319. - General solutions and initial characteristic problems for second order nonlinear equations with
rectilinear characteristics. (Russian)
*Liet. Mat. Rink.***40**(2000), No. 4, 459-474; English trasl.:*Lithuanian Math. J.***40**(2000)(2001), No. 4, 352-363. -
Nonlocal and initial problems for quasilinear, nonstrictly hyperbolic
equations with general solutions represented by superposition of arbitrary
functions.
*Georgian Math. J.***10**(2003), no. 4, 687-707. -
The mean value property for nonstrictly hyperbolic second order quasilinear
equations and the nonlocal problems.
*Proc. A. Razmadze Math. Inst.***135**(2004), 79-96. -
On one
nonlinear version of characteristic problem with a free support of data.
*Proc. A. Razmadze Math. Inst.***140**(2006), 91-107. -
On mean-value property for hyperbolic equations.
*Proc. A. Razmadze Math. Inst.***155**(2011), 117-118. -
On hyperbolic equations with general integrals representable by
superposition of arbitrary parameters, and characteristic problems.
*Proc. A. Razmadze Math. Inst.***159**(2012), 143-146. -
On characteristic problems with a non-compact support of data.
*Proc. A. Razmadze Math. Inst.***162**(2013), 130-135 (with R. Bitsadze, G. Baghaturia and M. Menteshashvili). -
Cauchy problem for a quasi-linear hyperbolic equation with closed support of
data. Translated from
*Sovrem. Mat. Prilozh.*Vol. 80, 2012, Part 1.*J. Math. Sci.*(N.Y.)**193**(2013), no. 3, 364-368 (with G. Baghaturia and M. Menteshashvili).