CURRICULUM VITAE
Name:
SERGO KHARIBEGASHVILI
Affiliation:
Andrea Razmadze Mathematical Institute
of I. Javakhishvili Tbilisi State
University
2 Merab Aleksidze II Lane, Tbilisi 0193
Georgia
E-mail: kharibegashvili@yahoo.com
Personal Data:
Date of Birth: |
20.01.1953 |
Place of Birth: |
Telavi, Georgia |
Nationality: |
Georgian |
Marital Status: |
Married, two children |
Education and Scientific Degree:
1969 - 1974 |
Student of the M.V. Lomonosov Moscow State University, |
|
Faculty of Mechanics
and Mathematics |
June, 1974 |
Diploma (M.D.) in Mathematics |
1974 - 1976 |
Probationer-researher of the V.A. Steklov Mathematical
Institute |
|
of the Russian Academy of Sciences (Moscow) |
1976 - 1979 |
Post-graduate student of the same department |
May, 1980 |
Candidate of Physical & Mathematical Sciences (Ph.D. in
Mathematics), |
|
the same department |
December, 1987 |
Doctor of Physical & Mathematical Sciences (Doct. Hab.), |
|
A. Razmadze Mathematical Institute, Georgian Academy of
Sciences |
Languages:
Georgian, Russian, English
Positions Held and Academic
Experience:
1980 - 1985 |
Junior Researcher at the Department of Partial Differential Equations |
|
of I. Vekua Institute of Applied Mathematics of Tbilisi State University |
1985 - 1988 |
Senior Researcher at the same department |
1988 - 1992 |
Leading Researcher at the same department |
1992 - 1993 |
Professor of the Department of Mathematics (99) at the Georgian |
|
Technical University, Tbilisi |
1993 - 1998 |
Head of the Department of Theoretical Mechanics (4) at the
Georgian |
|
Technical University, Tbilisi |
1998 - 2006 |
Leading Researcher at the A. Razmadze Mathematical Institute of |
|
Georgian Academy of Sciences, Tbilisi |
2006 - 2009 |
Associate Professor at the I. Javakhishvili Tbilisi State University |
2006 - present |
Chief Researcher
at the Andrea Razmadze Mathematical Institute |
|
2009 - present |
Full Professor at Department of Mathematics at the
Georgian Technical University |
Also:
1990 - 1992 |
Part-Time Professor (half of the full staff) of the Department |
|
of Mathematics (99) at the Georgian Technical University, Tbilisi |
1993 - 2006 |
Chief Researcher (half of the full staff) at the Department of Partial Differential |
|
Equations of I. Vekua Institute of Applied Mathematics of Tbilisi State University |
1999 - 2006 |
Part-Time Professor (half of the full staff) of the Department of Differential |
|
and Integral Equations of I. Javakhishvili Tbilisi State University |
Research Areas:
Partial Differential Equations and Systems:
Mixed problems for Degenerate Hyperbolic Equations and Systems of the second order; Boundary Value problems for Symmetric Hyperbolic Systems of the first order;
Nonlocal problems for Hyperbolic Equations and Systems;
Boundary Value problems for Nonlinear Hyperbolic Equations and Systems;
Boundary Value problems for Nonlinear Hypoelliptic Equations and Systems of high order;
Some Classes of the Degenerate Elliptic Equations and Systems of the Theory of Elasticity.
Participation
in Scientific Grant Projects:
Years |
Role in the Project |
Name of the Project |
Donor Organization |
2000-2001 |
Participant |
The classes of
hyperbolic, elliptic and mixed type equations and systems |
Georgian Academy of
Sciences, Grant #1.8 |
2002-2003 |
Participant |
The class of partial
differential equations and systems |
Georgian Academy of
Sciences, Grant #1.8.02 |
2004-2005 |
Participant |
Local and nonlocal
problems for hyperbolic equations and systems |
Georgian Academy of
Sciences, Grant #1.8.04 |
2001-2003 |
Participant |
Systems of
Quasilinear Partial Differential Equations and Inequalities. Existence and
Nonexistence of Solutions |
INTAS
Grant #00136. |
2004-2007 |
Participant |
Nonlinear Evolution
Equations. Blow-up Phenomena. Stability and Instability |
INTAS Grant
#03-51-5007. |
2002-2003
|
Participant |
Mathematical Models
for Elastic Cusped Plates and Bars |
NATO Grant PST.GLG,
976426/5437. |
2007-2009
|
Participant |
Non-Classical Problems of Fluid-Elastic Cusped Plate (beam) Interaction |
CRDF and GRDF
#GEP1-3339-TB-06. |
2006-2008 |
Participant |
Characteristic
problems for some classes of nonlinear hyperbolic equations |
GNSF (Georgian
National Science Foundation) Grant # GNSF/ST06/3-005. |
2013-2016 |
Supervisor |
Investigation and numerical solution of
some nonlinear non stationary models |
Shota Rustaveli National Science Foundation, Grant # 31/32 |
2015-2018 |
Participant |
Some linear and nonlinear contact problems of the plane
theory of elasticity |
Shota Rustaveli National Science Foundation, Grant # FR/86/5-109/14 |
2022-2025 |
Participant |
Some contact and boundary value problems of viscoelastic
dynamics and linear oscillation |
Shota Rustaveli National Science Foundation, Grant # FR – 21 - 7307 |
Participation
in international scientific forums:
-
Problems of Goursat type for a class of hyperbolic systems. Conference in
Equations of Mixed Type. Nalchik, Russia, May, 1981.
-
On a
characteristic problem for a class of second order hyperbolic systems with
parabolic degeneration. Enlarged Sessions of the Seminar of I. Vekua
Institute of Applied Mathematics. Tbilisi, Georgia, April, 1986.
-
On a
characteristic problem for a class of second order hyperbolic systems with
parabolic degeneration. Conference in Nonlocal Problems for Partial
Differential Equations. Nalchik, Russia, May, 1986.
-
On a
characteristic problem for second order degenerate hyperbolic systems.
All-union Symposium in Modern Problems of Mathematical Physics. Tbilisi,
Georgia, April, 1987.
-
On the
solvability of a characteristic problem for second order hyperbolic systems
with the characteristic line of degeneracy. All-union School of Young
Researchers “Functional Methods in Applied Mathematics and Mathematical
Physics”. Tashkent, Uzbekistan, May, 1988.
-
On the
solvability of a characteristic problem for second order degenerate
hyperbolic systems. Enlarged Sessions of the Seminar of I. Vekua Institute
of Applied Mathematics. Tbilisi, Georgia, April, 1989.
-
On a
characteristic problem for second order hyperbolic systems with
characteristic degeneration. Fourth Conference on Differential Equations and
Applications. Rousse, Bulgaria, August, 1989.
-
On the
solvability of a characteristic problem for second order normal hyperbolic
systems with degenerations of type and order. Enlarged Sessions of the
Seminar of I. Vekua Institute of Applied Mathematics. Tbilisi, Georgia,
April, 1991.
-
On a
characteristic problem for the wave equation. Scientific conference
“Boundary Value Problems and their Spectral Analysis for Deferential
Equations. Alma-Ata, Kazakhstan, May, 1991.
-
On a
multidimensional problem for strictly hyperbolic equations of higher order.
International Symposium in Continuum Mechanics and Related Problems of
Analysis, dedicated to Academician N. Muskhelishvili’s Centenary. Tbilisi,
Georgia, June, 1991.
-
On a
problem of Darboux type for second order hyperbolic equation. Enlarged
Sessions of the Seminar of I. Vekua Institute of Applied Mathematics.
Tbilisi, Georgia, April, 1993.
-
On the
correct formulation of one multidimensional problem for strictly hyperbolic
equations of higher order in the conic domain. 10th Conference on
Problems and Methods in Mathematical Physics. Chemmnitz, Germany, September,
1993.
-
Darboux type multidimensional problems for second order hyperbolic
equations. 25th Annual Iranian Mathematics Conference. Tehran,
Iran, March, 1994.
-
On a
spatial problem of Darboux type for a second order hyperbolic equations. The
First Congress of Georgian Mathematicians. Tbilisi, Georgia, June, 1994.
-
On the
solvability of multidimensional problems of Goursat type for higher order
hyperbolic equations. International Congress of Mathematician. Zurich,
Switzerland, August, 1994.
-
On a
non-characteristic multidimensional problem of Darboux type for the wave
equation. Enlarged Sessions of the Seminar of I. Vekua Institute of Applied
Mathematics. Tbilisi, Georgia, April, 1995.
-
On the
solvability of a Carboux type multidimensional problem for second order
hyperbolic systems. Enlarged Sessions of the Seminar of I. Vekua Institute
of Applied Mathematics. Tbilisi, Georgia, April, 1997.
-
Some
multidimensional versions of a characteristic problem for the first order
hyperbolic system. The International Symposium on Problems of Continuum
Mechanics dedicated to Prof. A. Gorgidze’s Ninetieth birthday Anniversary.
Tbilisi, Georgia, June, 1997.
-
On the
solvability of a characteristic problem for the Maxwell system of
differential equations. The International Symposium dedicated to the 90th Birthday
Anniversary of Academician I. Vekua. Tbilisi, Georgia, June, 1997.
-
To
the theory of boundary value problems for equations and systems of
hyperbolic type. The International Symposium dedicated to the 90th Birthday
Anniversary of Academician I. Vekua. Tbilisi, Georgia, June, 1997.
-
On a
multidimensional versions of the Darboux problem for a second order
degenerated hyperbolic equations. The Second Congress of Georgian
Mathematicians. Tbilisi, Georgia, September, 1997.
-
The
characteristic problem for the first order hyperbolic systems in conic
domains. Symposium in Differential Equations and Mathematical Physics.
Tbilisi, Georgia, July, 2001.
-
Boundary value problems for the one class of the second order systems of
partial differential equations. The III Congress of Georgian Mathematicians.
Tbilisi, Georgia, October, 2001.
-
On the
solvability of some boundary value problems for a class of first order
hyperbolic systems. The Second International Conference “Functional spaces.
Differential operators. Problems of mathematical education”. Moscow, Russia,
March 24-26, 2003.
-
Some
boundary value problems for a class of first order hyperbolic systems.
International Conference “Potential Theory: Applications in Solid Mechanics
and Acoustic and Electromagnetic Scattering Theory”. Tbilisi, Georgia,
October 26-30, 2003.
-
On
some nonlocal problems for a wave equation. Symposium on Differential
Equations and Mathematical Physics dedicated to the 100th Birdthday
Anniversary of Academician V. Kupradze and 90th Birthday
Anniversary of Academician N. Vekua. Tbilisi, Georgia, December 24-25, 2003.
-
Nonexistence of the global solutions of the Cauchy characteristic problem
for some wave equations with power nonlinearity. International School in
Physics and Mathematics "Function spaces, Integral Transforms and
Applications in PDE". Tbilisi, Georgia, August 31-September 5,
2005.
-
Some Boundary and initial boundary problems for a second order hyperbolic
equations with different degenerations. Tbilisi International Centre of
Mathematics and Informatics "Degenerate Partial Differential equations,
Weighted Spaces, and Applications to Mechanics." Tbilisi, Georgia,
September, 14-16,
2005.
-
On the well-posed question of boundary value problems for one class of the
second order hyperbolic systems in conic domains. Enlarged
Sessions of the Seminar of I. Vekua Institute of Applied Mathematics.
Tbilisi, Georgia, April, 2005.
-
On the existence or the absence of global solutions of the Cauchy
characteristic problem for some nonlinear hyperbolic equations. The
International Conference Tikhonov and Contemporary Mathematics. Moscow,
Russia, June 19-25,
2006.
-
On the existence and nonexistence of global solutions of the characteristic
Cauchy and Darboux problems for the multidimensional nonlinear wave
equations. ISAAC Conference on Complex Analysis, Partial Differential
Equations, and Mechanics of Continua. Tbilisi, Georgia, April 23-27,
2007.
-
Finite difference solution of a nonlinear Klein-Gordon equation with an
external source (with G. Berikelashvili, J. Gvazava, O. Jokhadze, B.
Midodashvili). NAA’08: Fourth International Conference on Numerical Analysis
and Applications. Lozenetz, Bulgaria, June 16-20,
2008.
-
Difference method of solving the Darboux problem for nonlinear Klein-Gordon
equation (with G. Berikelashvili, O. Jokhadze). International Conference on
“Modern Problems in Applied Mathematics”, Dedicated to the 90-th anniversary
of Iv. Javakhishvili Tbilisi State University (TSU) and 40th Anniversary of
the Foundation of I.Vekua Institute of Applied Mathematics. Tbilisi,
Georgia, 26-28 September, 7-9 October,
2008.
-
On the characteristic boundary value problems for nonlinear equations with
iterated wave operator in the principal part. International Conference on
“Modern Problems in Applied Mathematics”, Dedicated to the 90-th anniversary
of Iv. Javakhishvili Tbilisi State University (TSU) and 40th Anniversary of
the Foundation of I.Vekua Institute of Applied Mathematics. Tbilisi,
Georgia, 26-28 September, 7-9 October,
2008.
-
A
boundary value problem for wave equations. XXII Enlarged Session of the
Seminar at I. Vekua Institute of Applied Mathematics. Tbilisi, Georgia,
April 22-25, 2008.
-
Finite
Difference scheme for Klein-Gordon equation with cubic nonlinearity (with G.
Berikelashvili, O. Jokhadze, B. Midodashvili). XXII Enlarged Session of the
Seminar at I. Vekua Institute of Applied Mathematics. Tbilisi, Georgia,
April 22-25, 2008.
-
Some
boundary value problems for nonlinear hyperbolic equations. A. Razmadze
Institute of Mathematics. Scientific Session. Tbilisi, Georgia, October
20-24, 2008.
-
Finite difference scheme for one mixed problem with integral condition (with
G. Berikelashvili and D. Gordeziani). 2nd WSEAS
International Conference on Finite Differences – Finite Elements – Boundary
Elements (F – and – B’09). Tbilisi, Georgia, June 26-28, 2009.
-
The
Cauchy characteristic problem for one class of nonlinear wave equations in a
light cone of the future (with B. Midodashvili) XXIII Enlarged Session of
the Seminar at I. Vekua Institute of Applied Mathematics. Tbilisi, Georgia,
April 22-24, 2009.
-
A
boundary value problem for second order nonlinear hyperbolic equations in
the angular domain. (with O. Jokhadze). XXIII Enlarged Session of the
Seminar at I. Vekua Institute of Applied Mathematics. Tbilisi, Georgia,
April 22-24, 2009.
-
On the
solvability of one boundary value problem for multidimensional nonlinear
wave equations. Conference of Andrea Razmadze Mathematical Institute,
dedicated to Academician N. Berikashvili's 80-th anniversary, Tbilisi,
Georgia, November 2-6, 2009.
-
Some
nonlocal problems for second order strictly hyperbolic systems on a plane
(with B. Midodashvili). Fifth Congress of Mathematicians of Georgia, Batumi/Kutaisi,
Georgia, October 9-12, 2009.
-
Nonlocal problems for one class of hyperbolic systems on a plane (with B.
Midodashvili). XXIV Enlarged Session of the Seminar at I. Vekua Institute of
Applied Mathematics. Tbilisi, Georgia, April 21-23, 2010.
-
On the
global solvability of the Cauchy characteristic problem for one class of
nonlinear second order hyperbolic systems. Conference of Andrea Razmadze
Mathematical Institute dedicated to Academician N. Muskhelishvili's 120th
anniversary, Tbilisi, November 29 - December 3, 2010.
-
Some
nonlocal problems for semilinear one-dimensional wave equations. XXV
Enlarged Session of the Seminar at I. Vekua Institute of Applied
Mathematics. Tbilisi, Georgia, April 21-23, 2011.
-
On the
solvability of Cauchy spatial characteristic problem for one class of second
order semilinear wave equations (with B. Midodashvili). II
International Conference dedicated
to 70th anniversary of the Georgian National Academy of Sciences and the
120th Birthday of its First President Academician Nikoloz (Niko)
Muskhelishvili, Batumi,
September 15-19, 2011.
-
The
Cauchy characteristic prob;e for one class of the second order semilinear
hyperbolic systems in the light cone of the future (with B. Midodashvili).
International Conference "Continuum Mechanics and Related Problems of
Analysis" to celebrate the 70th anniversary of the Georgian National Academy
of Sciences and the 120th Birthday of its First President Academician
Nikoloz (Niko) Muskhelishvili, Tbilisi, September 9-14, 2011.
-
The
multidimensional Darboux Problem for a class of nonlinear wave equations. International
Workshop on the Qualitative Theory of Differential Equations "QUALITDE –
2011" Dedicated to the 70th birthday anniversary of Professor T.
Chanturia,
Tbilisi, November 4-6, 2011.
-
The
multidimensional Cauchy Characteristic problem for one class of the second
order nonlinear hyperbolic systems. Conference of Andrea Razmadze
Mathematical Institute, Tbilisi, November 28 - December 2, 2011.
-
On a
Darboux Type Multidimensional Problem for One Class of Second Order
Nonlinear Hyperbolic Systems (with B. Midodashvili). III
International Conference of
the Georgian Mathematical Union, Batumi,
September 2-9, 2012.
-
The
Cauchy-Goursat multidimensional problem for one class of the second order
nonlinear hyperbolic systems. Conference of Andrea Razmadze Mathematical
Institute, Tbilisi, December 3-7, 2012.
-
On one
boundary value problem for a wave equation with power nonlinearity (with O.
Jokhadze). International Conference "Modern Problems in Applied Mathematics"
dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State
University & 45th Anniversary of the I. Vekua Institute of Applied
Mathematics of TSU, Tbilisi, September 4-7, 2013.
-
On the
solvability of a boundary value problem for a wave equation with power
nonlinearity in the angular domains (with O. Jokhadze). Conference of Andrea
Razmadze Mathematical Institute, Tbilisi, December 2-6, 2013.
-
Nonlocal in time problem for semilinear multidimensional wave equations.
International Workshop on the Qualitative Theory of Differential Equations
"QUALITDE-2013" dedicated to the 100th birthday anniversary of Professor L.
Magnaradze, Tbilisi, Georgia, December 20-22, 2013.
-
The
mixed problem for the semilinear wave equation with a nonlinear boundary
condition (with O. Jokhadze). International Workshop on the Qualitative
Theory of Differential Equations "QUALITDE-2013" dedicated to the 100th
birthday anniversary of Professor L. Magnaradze, Tbilisi, Georgia, December
20-22, 2013.
-
A
nonlocal problem for semilinear multidimensional wave equation (with B.
Midodashvili). V International
Conference of
the Georgian Mathematical Union, Batumi,
September 8-12, 2014.
-
On the
periodic problem for the nonlinear telegraph equation with a boundary
condition of Poincare (with O. Jokhadze). International Workshop on the
Qualitative Theory of Differential Equations "QUALITDE-2014" dedicated to
the 125th birthday anniversary of Professor A. Razmadze, Tbilisi, Georgia,
December 18-20, 2014.
-
On the
solvability of one nonlocal in time problem for multidimensional wave
equations with power nonlinearity. International Workshop on the Qualitative
Theory of Differential Equations "QUALITDE-2014" dedicated to the 125th
birthday anniversary of Professor A. Razmadze, Tbilisi, Georgia, December
18-20, 2014.
-
On a
Zaremba type problem for nonlinear wave equations in the angular domains
(with O. Jokhadze). Conference of Andrea Razmadze Mathematical Institute,
Tbilisi, November 24-28, 2014.
-
The
local and global solvability of a multidimensional boundary value problem
for some second order semi-linear hyperbolic systems. Swedish-Georgian
Conference in Analysis and Dynamical Systems, Tbilisi, Georgia, July 15-22,
2015.
-
On one
boundary value problem for semilinear equation with iterated
multidimensional wave operator in the principal part. International Workshop
on the Qualitative Theory of Differential Equations "QUALITDE-2015",
Tbilisi, Georgia, December 27-29, 2015.
-
Mixed
problems for some class of integro-differential equations of parabolic type
(with O. Jokhadze). Conference of Andrea Razmadze Mathematical Institute,
Tbilisi, December 14-18, 2015.
-
The
Cauchy-Darboux problem for wave equation with a nonlinear dissipative term
(with O. Jokhadze). XXX Enlarged Session of the Seminar at I. Vekua
Institute of Applied Mathematics dedicated to the 100th birthday anniversary
of academician A. Bitsadze. Tbilisi, Georgia, April 20-22, 2016.
-
Scientific activities of academician Andria Bitsadze. XXX Enlarged Session
of the Seminar at I. Vekua Institute of Applied Mathematics dedicated to the
100th birthday anniversary of academician A. Bitsadze. Tbilisi, Georgia,
April 20-22, 2016.
-
life
and scientific activities of academician Andria Bitsadze. The Second
International Conference on Applications of Mathematics and Informatics in
Natural Sciences and Engineering dedicate to the Centenary of Andro Bitsadze.
Tbilisi, Georgia, September 21-23, 2016.
-
Global
and bow-up solutions of a mixed problem with nonlinear boundary conditions
for a one-dimensional semilinear wave equation (with O. Jokhadze). ICNAAM,
Rodos Palace Hotel, Rhodes, Greece, September 19-25, 2016.
-
On the
solvability of one multidimensional boundary value problem for a semilinear
hyperbolic equation. International Workshop on the Qualitative Theory of
Differential Equations "QUALITDE-2016" dedicated to the 100th birthday
anniversary of academician A. Bitsadze, Tbilisi, Georgia, December 24-26,
2016.
-
On the
solvability of the mixed problem for the semilinear wave equation with a
nonlinear boundary condition (with O. Jokhadze). International Workshop on
the Qualitative Theory of Differential Equations "QUALITDE-2016" dedicated
to the 100th birthday anniversary of academician A. Bitsadze, Tbilisi,
Georgia, December 24-26, 2016.
-
Mixed
problem with nonlinear boundary conditions for semilinear wave equation
(with O. Jokhadze). XXXI International Enlarged Session of the Seminar of
Ilia Vekua Institute of Applied Mathematics dedicated to the 110th Birthday
Anniversary of Academician Ilia Vekua. Tbilisi, Georgia, April 19-21, 2017.
-
On a
periodic problem for a nonlinear telegraph equation (with O. Jokhadze).
International Conference on Differential and Difference Equations and
Applications. Portugal, Military Academy Amadora, June 5-9, 2017.
-
The
boundary value problem for one class of semilinear partial differential
equations. International Workshop on the Qualitative Theory of Differential
Equations "QUALITDE-2017" dedicated to the 110th birthday anniversary of
professor I. Vekua, Tbilisi, Georgia, December 24-26, 2017.
-
On a
mixed nonlinear hyperbolic problem (with O. Jokhadze). International
Workshop on the Qualitative Theory of Differential Equations "QUALITDE-2017"
dedicated to the 110th birthday anniversary of professor I. Vekua, Tbilisi,
Georgia, December 24-26, 2017.
-
On the
contact problem of the interaction between the elastic plate and the
nonlinear elastic stringer (with N. Shavlakadze and O. Jokhadze). Conference
of Andrea Razmadze Mathematical Institute, Tbilisi, December 11-15, 2017.
-
On a
mixed problem for semilinear wave equations with nonlinear boundary
conditions (with O. Jokhadze). The Third International Conference on
Computational Mathematics and Engineering Sciences (CMES - 2018), Gime,
Cypros, May 2-6, 2018.
-
On the
solvability of the boundary value problem for one class of higher-order
semilinear partial differential equations. International Workshop on the
Qualitative Theory of Differential Equations – QUALITDE-2018, Tbilisi,
Georgia, December 1-3, 2018.
-
On one
mixed problem for one class of second order nonlinear hyperbolic systems
with the Dirichlet and Poincare boundary conditions (with O. Jokhadze).
International Workshop on the Qualitative Theory of Differential Equations –
QUALITDE-2018, Tbilisi, Georgia, December 1-3, 2018.
-
Representation of the solution of the inhomogeneous wave equation in a
half-strip in the form of finite sum of addends, depending on boundary,
initial values of the solution and right-hand side of the equation (with O.
Jokhadze). International Workshop on the Qualitative Theory of Differential
Equations "QUALITDE-2019", Tbilisi, Georgia, December 7-9, 2019.
-
Solvability of the boundary value problem for one class of higher-order
nonlinear partial differential equations. International Workshop on the
Qualitative Theory of Differential Equations "QUALITDE-2019", Tbilisi,
Georgia, December 7-9, 2019.
-
Some
nonlinear boundary value problems for semilinear wave equations (with N.
Shavlakadze and O. Jokhadze). VI International Conference on Topical
Problems of Continuum Mechanics, Octomber 1-6, 2019, Dilijan, Armenia.
-
The
adhesive contact problems in the plane theory of elasticity (with O.
Jokhadze and N. Shavlakadze). Conference of A. Razmadze Math. Inst. of TSU.
Feb. 25- 28 , 2019, Tbilisi.
-
Asgeirsson principle and exact boundary controllability problems for one
class of hyperbolic systems. International Workshop on the Qualitative
Theory of Differential Equations "QUALITDE-2020", Tbilisi, Georgia, December
19-21, 2020.
-
Asgeirsson principle and its applications in mixed problems for the string
vibration equation (with O.Jokhadze). Conference of A. Razmadze Math. Inst.
of TSU. Feb. 11- 14 , 2020, Tbilisi.
-
Some
well–posed problems for a nonlinear hyperbolic equation with an iterated
wave operator in the main part. Conference of A. Razmadze Math. Inst. of TSU.
Feb. 16- 19 , 2021, Tbilisi.
-
The
Boundary Value Problem for a Semilinear Hyperbolic System. International
Workshop on the Qualitative Theory of Differential Equations "QUALITDE-2021"
dedicated to the 130th birthday anniversary of Academician N. Muskhelishvili
, Tbilisi, Georgia, December 18-20, 2021.
-
The
boundary value problem for one class of nonlinear systems of partial
differential equations. International Workshop on the Qualitative Theory of
Differential Equations "QUALITDE-2022", December 17-19, 2022, Tbilisi,
Georgia.
-
The
boundary value problem for one class of higher – order nonlinear partial
differential equations. Conference of A. Razmadze Math. Inst. of TSU. Feb.
15- 18 , 2022, Tbilisi, Georgia.
-
Darboux type problem for one nonlinear hyperbolic equation of the fourth
order (with T.Bibilashvili). XXXVI Enlarged Session of the Seminar at I.
Vekua Institute of Applied Mathematics. April 19-21, 2022. Tbilisi, Georgia.
-
On the
solvability of a mixed problem for one class of second-order nonlinear
hyperbolic systems O.Jokhadze). The XII International Conference of the
Georgian Mathematical Union. August 29 – September 03, 2022, Batumi,
Georgia.
-
Antiperiodic
problem for one class
of nonlinear partial differential equations. International workshop on the
Qualitative Theory of Differential Equations “QUALITDE - 2023”, dedicated to
the 120 th birthday anniversary of Professor V. Kupradze, December 9-11,
2023, Tbilisi, Georgia,
www.
rmi. ge/eng/ QUALITDE-2023/workshop_
2023.
htm.
-
On the
solvability
of
a periodic problem in an infinite stripe for second order hyperbolic
equations(with
O.Jokhadze). International workshop on the Qualitative Theory of
Differential Equations “QUALITDE - 2023”, dedicated to the 120 th birthday
anniversary of Professor V. Kupradze, December 9-11, 2023, Tbilisi, Georgia,
www.
rmi. ge/eng/ QUALITDE-2023/workshop_
2023.
htm.
-
On the periodic problem in the infinite stripe for the
hyperbolic equations of second order(with
O.Jokhadze).
The XIII International Conference of the Georgian Mathematical Union.
September 4-9, 2023, Batumi, Georgia.
http://gmu.gtu.ge/conferences/wp-
content/uploads/2023/10/ Conference_GMU_2023_7.10_last.pdf
-
Some contact problems for a half-plane with non- linear
elastic stringer(with
O.Jokhadze, N.Shavlakadze).
VIII International Conference on Topical Problems of Continuum Mechanics,
1-5 October,
Tsakhkadzor, Armenia.
http://www.mechins.sci.am/conf2023/files/
conf-proceedings-2023.pdf
-
Mixed problem for the nonlinear string vibration equation with Neumann
boundary conditions(with O.Jokhadze).
Conference of A. Razmadze Math. Inst. of TSU. Feb. 14- 17 , 2023, Tbilisi,
Georgia.
Additional Information:
1993 - 1994 |
Scientific Secretary of Presidium of Georgian Mathematical Union |
1994 - 1997 |
Vise-President of Georgian Mathematical Union |
February, 1997 |
N. Muskhelishvili Prize Laureate of the Georgian Academy of Sciences |
November, 2020 |
A.Razmadze Prize Laureate of Georgia National Academy of Sciences |
Since 2017 |
an expert of the National Academy of Sciences of Georgia for evaluating the
annual reports of scientific activity of educational and scientific-research
institutions presented in the Academy in the field of mathematics |
|
The member of Editorial Boards of international scientific journal “Memoirs
on Differential Equations Mathematical Physics” |
|
The member of Editorial Boards of international scientific
journal
“transactions of A. Razmadze Mathematical Institute" |
January, 2010 |
The member of Editorial Boards of international scientific
journal
“Georgian
Mathematical Journal" |
|
The member of Editorial Boards of international scientific
journal
“Tbilisi
Mathematical Journal" |
|
|
|
Expert
service for international scientific journals:
- J. Nonlinear Analysis:
Theory, Methods & Applications.
- E.J. Qualitative Theory of
Differential Equations.
- Boundary Value Problems.
- Georgian Math. J.
- Mem. Differential
Equations Math. Phys.
-
Differentsial'nye Uravneniya
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Transactions of A. Razmadze Mathematical Institute
|
SUPERVISION OF POST-GRADUATE STUDENTS
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Rusudan Tsuladze, “A characteristic problem for higher order
linear hyperbolic equations”. 01.01.02 –Specialty: Differential equations and
mathematical physics. Tbilisi, 1989.
Defended the Ph. D.
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Tariel Kiguradze, “Some boundary value problems for the
systems of hyperbolic partial differential equations”. 01.01.02 –Specialty:
Differential equations. Tbilisi, 1994.
Defended the Ph. D.
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John Babilodze, “Darboux type boundary value problems for
second order loaded hyperbolic equations”. 01.01.02 –Specialty: Differential
equations. Tbilisi, 1998.
Defended the Ph. D.
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Bidzina Midodashvili, “Some spatial local and non-local
problems for high order hyperbolic equations”. 01.01.02 –Specialty:
Differential equations. Tbilisi, 2005.
Defended the Ph. D.
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Mikheil Usanetashvili, “Boundary value problems for some
classes of second order degenerated partial differential equations”. 01.01.02
–Specialty: Differential equations. Tbilisi, 1997.
Defended the Doct. Hab.
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Giorgi Dekanoidze, "Boundary value
problems for some class of nonlinear second order hyperbolic systems".
Tbilisi, GTU, 2018, Defended the Ph.D.
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David Gubelidze “On the one second order degenerated
elliptic equation in the non-smooth domain”. 01.01.02 –Differential and
integral equations. Tbilisi, 2000.
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Giorgi Bogveradze “On the propagation of strong
discontinuities of some hyperbolic type differential equations”. 01.01.02 -
Differential and integral equations. Tbilisi, 2004.
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Irakli Kikvadze “Inequalities of coercitivity and their use
in differential equations”. 01.01.02 - Differential and integral equations.
Tbilisi, 2004.
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Simon Tsutskiridze “Some boundary value problems for second
order degenerated hyperbolic equations”. 01.01.02 - Differential and integral
equations. Tbilisi, 2004.
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Natia Svanidze “Initial-boundary value problem for one
nonlinear integro-differential parabolic equation”. 01.01.02 - Differential
and integral equations. Tbilisi, 2006.
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Nino Kapanadze “ On the principle of extremum for solutions
of some elliptic equations”. 01.01.02 - Differential and integral equations.
Tbilisi, 2006.
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Natia Jikia “On the solvability of some versions of the
Goursat problem”. 01.01.02 - Differential and integral equations. Tbilisi,
2007.
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Natia Tabliashvili “Multidimensional characteristic problem
for one class of systems of first order”. 01.01.02 - Differential and integral
equations. Tbilisi, 2007.
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Marika Kortava "The mixed problem for the wave equation
with a nonlinear boundary condition". GTU, 2012.
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Theona Bibilashvili “Some classes of solutions of partial
differential equations”. GTU, 2020.
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Mariam Rashoian “Some boundary value problems for a class
of first order hyperbolic systems”. GTU, 2021.