Symposium on Differential Equations and Mathematical Physics

Abstracts


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Section I

ORDINARY DIFFERENTIAL EQUATIONS




A. Jodayree Akbarfam

Department of Applied Mathematics, University of Tabriz
Tabriz, Iran

THE CANONICAL PRODUCT OF A SOLUTION OF THE STURM-LIOUVILLE EQUATION IN THE CASE OF ONE TURNING POINT




M. Ashordia

Ministry of Defence of Georgia, Department of Automatic-Control Systems
Tbilisi, Georgia

ON A CRITERION OF THE EXISTENCE OF PERIODIC SOLUTIONS OF THE SYSTEM OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS




I. V. Astashova

Moscow University of Aviation and Technology
Moscow, Russian

ON QUALITATIVE PROPERTIES OF EMDEN-FOWLER DIFFERENTIAL EQUATIONS WITH A COMPLEX-VALUED COEFFICIENT




N. V. Azbelev

Perm State Technical University
Perm, Russia

IDEAS, FUNDAMENTALS AND APPLICATIONS OF THE THEORY OF ABSTRACT FUNCTIONAL DIFFERENTIAL EQUATIONS




R. Bakuradze

Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia

ON SOME RELATIONS FOR EIGENFUNCTIONS AND EIGENVALUES OF THE STURM-LIOUVILLE OPERATOR




E. I. Bravyi

Perm State Technical University
Perm, Russia

ON THE FREDHOLM PROPERTY OF A BOUNDARY VALUE PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION WITH SINGULARITIES




Samuel Castillo

Departamento de Matemática, Facultad de Ciencias
Universidad del Bío-Bío, Casilla 5-C
Concepción, Chile

ASYMPTOTIC FORMULAE FOR SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS




A. V. Chistyakov and P. M. Simonov

Perm State University
Perm, Russia

ON THE INVERTIBILITY OF LINEAR PERIODIC OPERATORS




A. Domoshnitsky, Michael Drakhlin, and Elena Litsyn

Dept of Youth Activities, The Technion
Haifa, Israel
The Research Institute, The College of Judea and Samaria
Kedumim-Ariel, Israel
Dept of Theor. Math., The Weizmann Institute
Rehovot, Israel

IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS




V. M. Evtukhov and E. V. Shebanina

Odessa State University
Odessa, Ukraine

ON ASYMPTOTIC REPRESENTATIONS OF SOLUTIONS OF A TYPE OF n-TH ORDER NONLINEAR DIFFERENTIAL EQUATIONS




L. Hatvani

Bolyai Institute, Szeged University
Szeged, Hungary

ON SMALL SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS




M. X. He, P. Natalini, and P. E. Ricci

Nova Southeastern University - Farquhar Center
Fort Lauderdale - Florida
U.S.A.
Dipartimento di Matematica "Guido CASTELNUOVO"
Università degli Studi di Roma "La Sapienza"
Roma, Italy

ASYMPTOTIC DISTRIBUTION OF THE ZEROS OF ORTHOGONAL POLYNOMIALS WITH RESPECT TO VARYING WEIGHTS




A. Nematy Hoseanabady

Department of Mathematics, University of Mazandaran
Babolsar, Iran

THE CANONICAL PRODUCT OF A SOLUTION OF THE STURM-LIOUVILLE EQUATION IN THE CASE OF TWO TURNING POINTS




N. A. Izobov and R. A. Prokhorova

Mathematical Institute, Belorussian State University
Minsk, Belarus

COPPEL-CONTI SETS OF LINEAR SYSTEMS




G. Kharatishvili and T. Tadumadze

Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia
I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

DEVELOPMENT OF THE THEORY OF OPTIMAL SYSTEMS WITH DELAYED ARGUMENTS IN GEORGIA




I. Kiguradze and B. Puza

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
Masaryk University, Brno, Czech Republic

ON BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS




L. Kokilashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON PROPER OSCILLATORY SOLUTIONS OF HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONS




R. Koplatadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON OSCILLATORY PROPERTIES OF SOLUTIONS OF n-TH ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS




A. A. Kostin

Odessa State University, Odessa, Ukraine

ASYMPTOTICS OF SOLUTIONS OF A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS




A. V. Kostin and S. A. Shchogolev

Odessa State University
Odessa, Ukraine

ON SOME PROBLEMS OF THE OSCILLATION THEORY




Kusano Takasi and Manabu Naito

Department of Applied Mathematics, Fukuoka University
Fukuoka, Japan
Department of Mathematical Science, Ehime University
Ehime, Japan

ON SINGULAR EIGENVALUE PROBLEMS FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS




G. Kvinikadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON OSCILLATION OF SECOND ORDER LINEAR DIFFERENCE EQUATIONS WITH DEVIATED ARGUMENTS




V. Lakshmikantham

Florida Institute of Technology
Melbourne, USA

UNCERTAIN DYNAMIC SYSTEMS ON TIME SCALES




S. Leela

SUNY at Geneseo
New York, USA

ADVANCES IN UAS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS




A. Ya. Lepin and A. D. Myshkis

Institute of Mathematics and Information Science
Riga, Latvia
Moscow State University of Communications
Moscow, Russia

A GENERAL NON-LOCAL NONLINEAR BOUNDARY VALUE PROBLEM FOR A THIRD ORDER DIFFERENTIAL EQUATION




A. Lomtatidze

N. Muskhelishvili Institute of Computational Mathematics}
Georgian Academy of Sciences}
Tbilisi, Georgia

ON SQUARE INTEGRABILITY AT INFINITY OF SOLUTIONS OF SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS




V. Maksimov, J. Munembe, and V. Shishkin

Perm State University
Perm, Russia

ON THE QUESTION OF ENCLOSING OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS




F. G. Maksudov

Institute of Mathematics and Mechanics
Baku, Azerbaijan

SOME PROBLEMS OF THE SPECTRAL THEORY OF OPERATOR BUNDLES




Jelena Manojlovic

University of Nis, Faculty of Philosophy
Department of Mathematics
Nis, Yugoslavia

ASYMPTOTIC RESULTS FOR SOLUTIONS OF THE SYSTEM OF DIFFERENTIAL EQUATIONS OF THE EMDEN-FOWLER TYPE




Frantisek Neuman

Mathematical Institute, Czech Academy of Sciences
Czech Republic

GLOBAL TRANSFORMATIONS OF LINEAR DIFFERENTIAL EQUATIONS




V. V. Nikonenko

State Civil Engeneering Academy
Odessa, Ukraine

ON ASYMPTOTIC REPRESENTATION OF SOLUTIONS OF n-TH ORDER LINEAR DIFFERENTIAL EQUATIONS




N. Partsvania

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

OSCILLATION CONDITIONS FOR TWO-DIMENSIONAL SYSTEMS OF DIFFERENTIAL INEQUALITIES WITH DEVIATING ARGUMENTS




Irena Rachunková

Department of Mathematical Analysis, Palacký University
Olomouc, Czech Republic

MULTIPLE SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS




L. F. Rakhmatullina

Perm State Technical University
Perm, Russia

ON AN ESTIMATE OF THE SPECTRAL RADIUS OF THE ISOTONIC BOUNDED OPERATOR




N. Kh. Rozov

Moscow State University
Moscow, Russia

MATHEMATICAL THEORY OF THE BUFFERNESS PHENOMENON IN OSCILLATORY SYSTEMS WITH DISTRIBUTED PARAMETERS




A. N. Rumyantsev

Perm State University
Perm, Russia

CONSTRUCTIVE METHODS IN THE THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS




Z. Sokhadze

A. Tsereteli Kutaisi State University
Kutaisi, Georgia

ON THE SOLVABILITY OF THE CAUCHY WEIGHT PROBLEM FOR SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS




Svatoslav Stanek

Department of Mathematical Analysis, Faculty of Science
Olomouc, Czech Republic

MULTIPLE SOLUTIONS OF NONLINEAR FUNCTIONAL BOUNDARY VALUE PROBLEMS




I. P. Stavroulakis

Department of Mathematics, University of Ioannina
Ioannina, Greece

OSCILLATIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS




Z. Tsintsadze

Tbilisi State University
Tbilisi, Georgia

NECESSARY CONDITIONS OF OPTIMALITY FOR NON-AUTONOMOUS QUASILINEAR CONTROL SYSTEMS WITH MIXED RESTRICTIONS




Milan Tvrdý

Matematický ústav AV CR
Praha, Czech Republic

LINEAR STIELTJES INTEGRAL EQUATIONS IN THE SPACE OF REGULATED FUNCTIONS




Igor Vitrichenko

Odessa State University
Odessa, Ukraine

TO THE STABILITY OF A SECOND ORDER DIFFERENCE QUASILINEAR EQUATION IN THE CRITICAL CASE




Jaromír Vosmanský

Masaryk University
Brno, Czech Republic

SOLUTIONS OF THE EQUATION y" + q(t,n)y = 0 WITH COMMON ZEROS AT INFINITY




Guang Zhang and Sui Sun Cheng

Department of Mathematics, Datong Advanced College
Datong, Shanxi, P. R. China
Department of Mathematics, Tsing Hua University
Hsinchu, Taiwan, R. O. C.

ON A FUNCTIONAL DIFFERENTIAL EQUATION RELATED TO THE EMDEN-FOWLER EQUATION

 


Section II

PARTIAL DIFFERENTIAL EQUATIONS




G. Akhalaia and G. Manjavidze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON THE BOUNDARY VALUE PROBLEMS FOR ELLIPTIC TYPE DIFFERENTIAL SYSTEMS IN PLANE DOMAINS WITH ANGULAR POINTS




E. Alshibaia

Tbilisi State University
Tbilisi, Georgia

A ABOUT THE NORMALS OF A NONHOLONOMIC MANIFOLD




Heinrich Begehr

Freie Universität Berlin
Berlin, Germany

ITERATED POMPEIU--VEKUA OPERATORS




N. K. Bliev

Institute of Mathematics
Almaty, Kazakhstan

ON MANY-DIMENSIONAL GENERALIZATIONS OF THE CAUCHY--RIEMANN SYSTEM




R. Bochorishvili

Tbilisi State University,
Tbilisi, Georgia

ADAPTIVE NUMERICAL METHODS THAT CONVERGE IN MINIMAL A PRIORI ESTIMATES FOR NONLINEAR SCALAR CONSERVATION LAWS




R. Chartolani

Georgian Technical University, Tbilisi, Georgia

ON A GENERAL REPRESENTATION OF SOLUTIONS OF CIBRARIO EQUATIONS




D. Cioranescu

Laboratoire d'Analyse Numérique
CNRS and Université Pierre et Marie Curie
Paris, France

MATHEMATICAL RESULTS FOR A CLASS OF SECOND GRADE NON-NEWTONIAN FLUIDS




A. D. Dzhuraev

Institute of Mathematics, Tajik Academy of Sciences
Dushanbe, Tajikistan

ON DIRICHLET, NEUMANN AND OTHER RELATED PROBLEMS IN THE UNIT BALL OF Cn




T. Ebanoidze

Committee for Science, Education and Culture of the Georgian Parliament,
Tbilisi, Georgia

ON SOME FACTS FROM ILIA VEKUA'S SCIENTIFIC BIOGRAPHY




Yu. V. Egorov and V. A. Kondratiev

Moscow State University
Moscow Russia

ON BLOW-UP SOLUTIONS FOR PARABOLIC EQUATIONS




E. A. Elfimov and A. Yu. Timofeyev

Syktyvkar State University
Syktyvkar Russia

ON THE CORRECTNESS OF THE CAUCHY PROBLEM FOR SYSTEMS OF DIFFERENTIAL EQUATIONS WITH THE CELFOND-LEONTYEV DERIVATIVE




Robert Finn and Jianan Lu

Mathematics Department, Stanford University
California, USA

REGULARITY PROPERTIES OF H-GRAPHS




J. Gvazava

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON THE NATURE OF NONLINEAR DARBOUX AND GOURSAT PROBLEMS




J. Gvazava and S. Kharibegashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tblisi, Georgia
Georgian Technical University
Tbilisi, Georgia

TO THE THEORY OF BOUNDARY VALUE PROBLEMS FOR EQUATIONS AND SYSTEMS OF HYPERBOLIC TYPE




G. A. Isaeva

Irkutsk State University
Irkutsk, Russia

ABOUT THE CORRECTNESS OF THE DIRICHLET PROBLEM FOR A MULTI-DIMENSIONAL ELLIPTIC SYSTEM WITH VARIABLE COEFFICIENTS




G. Jaiani

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

BENDING OF CUSPED PLATE WITH A PROFILE OF GENERAL FORM




T. Jangveladze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON INVESTIGATION AND NUMERICAL SOLUTION OF SOME CLASSES OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS




O. Jokhadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

THE RIEMANN FUNCTION FOR HIGHER ORDER HYPERBOLIC EQUATIONS




J. Kapanadze

Institute of Geophysics, Georgian Academy of Sciences
Tbilisi, Georgia

ON THE SOLVABILITY OF A NONLOCAL BOUNDARY VALUE PROBLEM AND THE SMOOTHNESS OF A DOMAIN




Athanassios G. Kartsatos and Igor V. Skrypnik

University of South Florida, Tampa
Florida, USA
Institute of Applied Mathematics and Mechanics
Donetsk, Ukraine

NORMALIZED EIGENVECTORS FOR NONLINEAR ABSTRACT AND ELLIPTIC OPERATORS




S. Kharibegashvili

Georgian Technical University
Tbilisi, Georgia

ON THE SOLVABILITY OF A CHARACTERISTIC PROBLEM FOR THE MAXWELL SYSTEM OF DIFFERENTIAL EQUATIONS




G. Khimshiashvili

A. Razmadze Mathematical Insitute, Georgian Academy of Sciences
Tbilisi, Georgia

ELLIPTIC BOUNDARY VALUE PROBLEMS FOR GENERALIZED CAUCHY--RIEMANN SYSTEMS




T. Kiguradze

Tbilisi State University
Tbilisi, Georgia

ON PERIODIC SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS




M. Klebanskaya

Georgian Technical University
Tbilisi, Georgia

SOME NONLINEAR VERSIONS OF DARBOUX AND GOURSAT PROBLEMS FOR A HYPERBOLIC EQUATION WITH PARABOLIC DEGENERACY




V. Kokilashvili and V. Paatashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

BOUNDARY VALUE PROBLEMS FOR HARMONIC FUNCTIONS IN THE DOMAINS WITH PIECEWISE-SMOOTH BOUNDARIES




L. Magnaradze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

SOME LINEAR SYSTEMS OF ABSTRACT OPERATOR EQUATIONS AND THEIR APPLICATION TO THE THEORY OF BOUNDARY VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS




M. Mania and R. Tevzadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia

SOLUTION OF BELLMAN'S EQUATION BY A SYSTEM OF NONLINEAR SINGULAR INTEGRAL EQUATIONS




B. Midodashvili

Georgian Technical University
Tbilisi, Georgia

ON THE SOLVABILITY OF ONE NONLOCAL PROBLEM FOR A FOURTH ORDER HYPERBOLIC EQUATION




Stéphane Mischler and Bernt Wennberg

Université de Versailles-Saint-Quentin
France

ON THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION




E. Obolashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

I. VEKUA GENERALIZED HOLOMORPHIC FUNCTIONS AND CLIFFORD ANALYSIS




O. A. Oleinik

Moscow State University
Moscow, Russia

ON FREE BOUNDARY PROBLEMS, ARISEN IN THE THEORY OF PROBABILITY




O. A. Oleinik and T. A. Shaposhnikova

Moscow State University
Moscow, Russia

ON THE HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS IN PERFORATED AND PARTIALLY PERFORATED DOMAINS




Jean-Pierre Puel

Université de Versailles and Centre de Mathematiques Appliquees
Ecole Polytechnique, France

SOME RESULTS ON CONTROLLABILITY PROBLEMS FOR FLUID FLOWS




J. Rogava and R. Galdava

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON THE STABILITY AND CONVERGENCE OF A THREE-LAYER SEMI-DISCRETE SCHEME FOR AN EVOLUTIONARY EQUATION WITH A VARIABLE OPERATOR




B.-Wolfgang Schulze

Institute for Mathematics, University of Potsdam
Potsdam, Germany

PSEUDO-DIFFERENTIAL OPERATORS ON CORNER MANIFOLDS




T. A. Shaposhnikova

Moscow State University
Moscow, Russia

ON THE HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATIONS IN PARTIALLY PERFORATED DOMAINS




S. A. Shchogolev

Odessa State University
Odessa, Ukraine

ON SOME SOLUTIONS OF THE PARTIAL DIFFERENTIAL EQUATIONS OF THE HYPERBOLIC TYPE




I. Tavkhelidze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

SOME PROPERTIES OF SOLUTIONS OF THE DIRICHLET BOUNDARY VALUE PROBLEM FOR A POISSON EQUATION AT INFINITY




S. Topuria

Georgian Technical University
Tbilisi, Georgia

A GENERALIZED DERIVATIVES AND THE DIRICHLET PROBLEM FOR A HALFSPACE




R. Tsurtsumia

Georgian Technical University
Tbilisi, Georgia

ONE NONLOCAL PROBLEM WITH INTEGRAL RESTRICTIONS FOR THE THIRD ORDER HYPERBOLIC EQUATION




Wolfgang Tutschke

Department of Mathematics, Technical University of Graz
Graz, Austria

INTERIOR ESTIMATES OF SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS TO INITIAL VALUE PROBLEMS




M. Usanetashvili

Georgian Technical University
Tbilisi, Georgia

ON THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC SYSTEM WITH DEGENERATION ON THE WHOLE DOMAIN BOUNDARY




V. N. Vragov

Novosibirsk State University
Novosibirsk, Russia

ON A MIXED PROBLEM CONTAINING A DERIVATIVE WITH RESPECT TO TIME IN THE BOUNDARY CONDITION FOR HYPERBOLIC EQUATIONS




A. Yanushauskas

Institute of Mathematics
Siberian Branch of the Russian Academy of Sciences
Novosibirsk, Russia

ON THE CLASSIFICATION OF MULTIVARIATE ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS




V. V. Zozulya

Kharkov State Technical University
Kharkov, Ukraine

BOUNDARY INTEGRAL EQUATION FOR VEKUA'S SHELLS OF ARBITRARY GEOMETRY




 


Section III

MATHEMATICAL PHYSICS




T. Abesadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

BASIC BOUNDARY VALUE PROBLEMS FOR ANISOTROPIC NONHOMOGENEOUS THERMOELASTIC CIRCULAR DOMAINS




A. G. Aleksandrov and B. Martin

Institute of Control Sciences, Russian Academy of Sciences
Moscow, Russia
Brandenburgische Technische Universität Cottbus, Institut für Mathematik
Cottbus, Germany

GAUSS--MANIN CONNEXION ASSOCIATED WITH BOUQUETS OF SINGULARITIES




R. Bantsuri

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON PROBLEMS WITH BOUNDARY MOTION CONDITIONS OF THE THEORY OF ELASTICITY AND MATHEMATICAL PHYSICS




L. Bitsadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

FIRST BOUNDARY VALUE PROBLEM OF ELECTROELASTICITY FOR A TRANSVERSALLY ISOTROPIC PLANE WITH CURVILINEAR CUTS




T. Buchukuri

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOME DYNAMIC BOUNDARY VALUE PROBLEMS OF THE CLASSICAL THEORY OF ELECTROELASTICITY




I. Bukhnikashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON ONE FAST CONVERGENT ITERATION ALGORITHM OF SOLUTION OF LINEAR EQUATION OF NON-FIXED SIGN SYMMETRIC MATRIX




T. Burchuladze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

POTENTIAL AND INTEGRAL EQUATIONS METHOD IN THREE-DIMENSIONAL DYNAMIC PROBLEMS OF THE MATHEMATICAL ELASTICITY THEORY




T. Burchuladze and Yu. Bezhuashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
Georgian Technical University
Tbilisi, Georgia

THREE-DIMENSIONAL BOUNDARY VALUE PROBLEMS OF ELASTOTHERMODIFFUSION WITH MIXED BOUNDARY CONDITIONS




T. Burchuladze and R. Rukhadze

A. Razmadze Mathemarical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
Georgian Technical University
Tbilisi, Georgia

FOURIER METHOD IN THREE-DIMENSIONAL
BOUNDARY-CONTACT DYNAMIC PROBLEMS
OF THE CUPLE-STRESS ELASTICITY THEORY




A. Chalidze and D. Japaridze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

BASIC BOUNDARY VALUE PROBLEMS FOR SOME ANISOTROPIC NONHOMOGENEOUS ELLIPTIC DOMAINS




T. Chilachava

Sukhumi Branch of Tbilisi State University
Tbilisi, Georgia

ON THE ASYMPTOTIC METHOD OF SOLUTION OF A CLASS OF NONLINEAR PROBLEMS OF GRAVITATING GAS DYNAMICS




O. Chkadua

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ASYMPTOTICS OF SOLUTIONS OF SOME BOUNDARY VALUE AND BOUNDARY--CONTACT PROBLEMS WITH CRACKS OF ELASTICITY THEORY




Alberto Cialdea

Dipartimento di Matematica, Università della Basilicata
Potenza, Italy

THE BROTHERS RIESZ THEOREM IN Rn




Paul Concus

University of California
Berkeley, U.S.A.

DISCONTINUOUS BEHAVIOR OF LIQUID BRIDGES BETWEEN PLANES: MATHEMATICAL THEORY AND SPACE EXPERIMENTS




R. Duduchava

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgian

SMOOTHNESS AND ASYMPTOTICS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS FOR PSDES ON MANIFOLDS WITH BOUNDARY




A. Dzhishkariani

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON THE FINITE ELEMENT METHOD FOR ELLIPTIC BOUNDARY VALUE PROBLEMS




V. Garsevanishvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

MANY-BODY EQUATIONS IN QUANTUM FIELD THEORY AND SOME OF ITS APPLICATIONS




G. Giorgadze

Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia

MODULI AND DEFORMATION FOR FUCHSIAN CONNECTIONS ON A RIEMANN SURFACE




L. Giorgashvili

Georgian Technical University
Tbilisi, Georgia

PRINCIPAL CONTACT PROBLEM FOR TWO HALF-SPACES WITH SPHERICAL CAVITY




D. Gordeziani, N. Gordeziani, and G. Avalishvili

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

NONLOCAL BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS




D. Gordeziani, G. Jaiani, T. Meunargia, and T. Vashakmadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

PROBLEMS OF I. VEKUA'S THEORY OF PLATES AND SHELLS




K. Gvazava

Georgian Technical University
Tbilisi, Georgia

ON THE ANTIPLANAR CRACK PROPAGATION PROBLEM IN AN ISOTROPIC MEDIUM




G. Janashia

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

FACTORIZATION OF MATRIX FUNCTIONS AND ITS RELATION WITH CORONA PROBLEM




G. Jandieri and V. Jandieri

Georgian Technical University
Tbilisi, Georgia

PECULIARITIES OF THE DISTRIBUTION OF CONCENTRATION OF ADMIXTURES IN A TURBULENT FLOW




Varga Kalantarov and A. Okay Celebi

Hacettepe University
Ankara, Turkey
Middle East Technical University
Ankara, Turkey

LOWER SEMICONTINUITY OF THE ATTRACTORS FOR SINGULARLY PERTURBED BOUSSINESQ-TYPE EQUATIONS




G. Kapanadze

Tbilisi State University
Tbilisi, Georgia

THE PROBLEM OF BENDING OF A FREE SUPPORTED PLATE BOUNDED BY TWO CONVEX BROKEN LINES




G. Khatiashvili

N. Muskhelishvili Institute of Computational Mathematics
Georgian Academy of Sciences
Tbilisi, Georgia

SOME PROBLEMS OF THE THEORY OF ELASTICITY FOR BODIES MADE OF COMPOSITE AND MIXTURE MATERIALS




N. Khatiashvili

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON ONE NONLINEAR INTEGRAL EQUATION




L. Kiknadze and Yu. Mamaladze

Institute of Physics, Georgian Academy of Sciences
Tbilisi, Georgia

THE MOTION OF VORTICES AT THE BOUNDARY OF SUPERFLOW




A. Kordzadze

Institute of Geophysics, Georgian Academy of Sciences
Tbilisi, Georgia

MATHEMATICAL MODEL OF SEA DYNAMICS AND ITS USE FOR BLACK SEA CIRCULATION STUDIES




A. Koshelev, L. Oganesjan, and S. Chelkak

St. Petersburg University
Russian Academy of Sciences
St. Petersburg Electrotechnical University
St. Petersburg, Russia

A REGULAR SOLUTION OF THE NAVIER--STOKES SYSTEM




S. Kukudzhanov

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON EIGEN-OSCILLATIONS OF PRESTRESSED SHELLS OF ROTATION CLOSE TO CYLINDRICAL SHELLS




G. Kutateladze

N. Muskhelishvili Institute of Computational Mathematics
Georgian Academy of Sciences
Tbilisi, Georgia

AN EFFECTIVE SOLUTION OF SOME BOUNDARY VALUE PROBLEMS OF THE THEORY OF ANALYTIC FUNCTIONS AND THEIR APPLICATION TO MATHEMATICAL PHYSICS




E. Lagvilava

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON FACTORIZATION AND PARTIAL INDEXES OF UNITARY MATRIX FUNCTIONS




M. M. Lavrentiev

Institute of Mathematics, Siberian Branch of Russian Academy of Sciences
Novosibirsk, Russian

PROBLEMS OF ASTROPHYSICS ASSOCIATED
WITH KOZYREV'S DISCOVERY




O. Maisaia and R. Gachechiladze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOME NONCLASSICAL PROBLEMS OF ELASTICITY




G. Marchuk

Institute of Computational Mathematics, Russian Academy of Sciences
Moscow, Russia

CONJUGATE EQUATIONS AND THEIR APPLICATIONS




L. A. Medeiros and J. L. Ferrel

Instituto de Matemática UFRJ,
Rio de Janeiro, RJ
Instituto de Matemática UFF,
Niterói, RJ

ELLIPTIC REGULARIZATION AND THE NAVIER--STOKES SYSTEM




T. Meunargia

I. Vekua Institute of Applied Mathematics, Tbilisi state University
Tbilisi, Georgia

CALCULATION OF NON-LINEAR AND NON-SHALLOW SHELLS BY I. VEKUA'S METHOD




N. Morozov, M. Paukshto, and P. Tovstik

St. Petersburg University
St. Petersburg, Russia

THE INSTABILITY OF THE SURFACE FILM AS A RESULT OF THE THERMODIFFUSION PROCESS




D. Natroshvili

Georgian Technical University
Tbilisi, Georgia

MATHEMATICAL THEORY OF STEADY STATE VIBRATIONS OF ANISOTROPIC BODIES




Sh. Nikolaishvili and G. Jashiashvili

Institute of Physics, Georgian Academy of Sciences
Tbilisi, Georgia
Georgian Technical University
Tbilisi, Georgia

ON THE PROBLEM OF A LASER BEAM PENETRATION THROUGH THE EARTH ATMOSPHERE




T. Obgadze

Sukhumi Branch of Tbilisi State University
Tbilisi, Georgia

MATHEMATICAL MODELLING OF AVALANCHE STREAMS




J. Peradze

Tbilisi State University
Tbilisi, Georgia

ON A DYNAMIC PROBLEM FOR THE TIMOSHENKO BEAM




G. Sadunishvili

Georgian Technical University
Tbilisi, Georgia

PIECEWISE HOMOGENEOUS ELASTIC BODY IN THE ACOUSTIC FIELD




A. Saginashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SINGULAR INTEGRAL OPERATORS WITH A SHIFT OUTSIDE THE CONTOUR OF INTEGRATION AND
THEIR APPLICATIONS




Z. Samsonia

N. Mushkelishvili Institute of Computational Mathematics
Georgian Academy of Sciences
Tbilisi, Georgia

ON QUASICONFORMAL MAPPING OF CLOSE DOMAINS




J. Sanikidze

N. Muskhelishvili Institute of Computational Mathematics
Georgian Academy of Sciences
Tbilisi, Georgia

ON AN APPROXIMATE SOLUTION OF SOME BOUNDARY VALUE PROBLEMS BY THE METHOD OF APPROXIMATION OF SINGULAR INTEGRALS




L. Shapakidze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON THE STABILITY AND BIFURCATION OF FLUID MOTION BETWEEN TWO ROTATING PERMEABLE CYLINDERS




J. Sharikadze

Tbilisi State University
Tbilisi, Georgia

SOME EXACT SOLUTIONS OF THE EQUATIONS OF MAGNETIC GAS DYNAMICS IN THE PRESENCE OF MASS SOURCES AND SINKS




N. Shavlakadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

PROBLEMS OF THE PLANE THEORY OF ELASTICITY WITH BOUNDARY CONDITIONS MOVING WITH VARYING VELOCITY




O. Shinjikashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON AN APPLICATION OF THE COMPLEX REPRESENTATION OF SOLUTIONS TO CONTINUOUSLY INHOMOGENEOUS ELASICITY PROBLEMS




D. Shulaia

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

HILBERT-SHMIDT TYPE THEOREMS FOR A CHARACTERISTIC EQUATION OF MULTIGROUP NEUTRON TRANSPORT THEORY IN PLANE GEOMETRY




M. Svanadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

ON THE OSCILLATION PROBLEMS OF THE LINEAR
THEORY OF MIXTURES OF THERMOELASTIC SOLIDS




D. Toradze

Tbilisi State University
Tbilisi, Georgia

THE SOLUTION OF THE DYNAMIC PROBLEMS OF THE THEORY OF ELASTIC MIXTURE FOR CIRCULAR DOMAINS




I. Tsagareli

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

THE SOLUTION OF THE INITIAL-BOUNDARY PROBLEM OF STATICS OF THE THEORY OF ELASTIC MIXTURES FOR A CIRCULAR RING




A. Tsitskishvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

APPLICATION OF SOLUTIONS OF SCHWARTZ DIFFERENTIAL EQUATIONS TO THE THEORY OF FILTRATION

Z. D. Usmanov

Institute of Mathematics, Tajik Academy of Sciences
Dushanbe, Tajikistan

COMPLEX ANALYSIS METHODS IN THE THEORY OF INFINITESIMAL BENDINGS OF SURFACES WITH A FLAT POINT




T. Vashakmadze

I. Vekua Institute of Applied Mathematics, Tbilisi State University
Tbilisi, Georgia

TO MATHEMATICAL PROBLEMS OF THERMOELASTOMECHANICS AND TO THE HOMOGENIZATION OF SOME BOUNDARY VALUE PROBLEMS




E. Wegert, G. Khimshiashvili and I. Spitkovski

TU Bergakademie Freiberg
Freiberg, Germany
A. Razmadze Mathematical Institute, Georgian Acadey of Sciences
Tbilisi, Georgia
Williamsburg, USA

NONLINEAR TRANSMISSION PROBLEMS




D. Zarnadze

N. Muskhelishvili Institute of Computational Matematics
Georgian Academy of Sciences
Tbilisi, Georgia

ON THE CONTINUITY AND SELFADJOINTNESS OF RESTRICTION TO D(Aµ OF A SELFADJIONT
OPERATOR A AND LT'S APPLICATION TO ILL-POSED
PROBLEMS THEORY




Sh. Zazashvili

Georgian Technical University
Tbilisi, Georgia

NON-HOMOGENEOUS ANISOTROPIC PLANE WITH
A CUT ALONG THE LINE OF CONTACT




D. Zeragia

N. Muskhelishvli Institute of Computational Mathematics
Georgian Academy of Sciences
Tbilisi, Georgia

APPLICATION OF VARIATIONAL METHODS TO THE PROBLEM ON BIFURCATION POINTS