ISAAC CONFERENCE

on

Complex Analysis, Partial Differential Equations, and Mechanics of Continua

Dedicated to Centenary of Ilia Vekua

April 23 -27, 2007, Tbilisi, Georgia

ABSTRACTS

The abstracts are submitted by the authors in camera ready form. Readers are advised to keep in mind what statements, data illustrations, or other items may inadvertently be inaccurate.

Avalishvili G., Avalishvili M., Gordeziani D., (I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, E-mail: g_a_avalishvili@yahoo.com, mavalish@yahoo.com, dgord37@yahoo.com)

NON-LOCAL IN TIME PROBLEMS FOR SOME EQUATIONS OF MATHEMATICAL PHYSICS (pdf-file)

Akhalaia G., Manjavidze N., Makatsaria T. (Iv. Javakhishvili Tbilisi State University)
FIRST ORDER ELLIPTIC SYSTEMS ON THE PLANE (pdf-file)

Aksoy U.¹, Celebi O.² (¹ Dep. of Math., Atilim University 06836, Incek, Ankara, Turkey, ² Dep. of Math., Middle East Technical University 0653 Ankara, Turkey)
ON A BOUNDARY VALUE PROBLEM FOR HIGHER ORDER ELLIPTIC COMPLEX PARTIAL DIFFERENTIAL EQUATIONS (pdf-file)

Babayan A. O. (E-mail:armenak@web.am)
ON A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION IN A UNIT DISK (pdf-file)

Babilua P., Bokuchava I., Dochviri B., Shashiashvili M. (Iv. Javakhishvili Tbilisi State University, 2, University Str., Tbilisi 0143, Georgia)
SEMIMARTINGALE LOCAL TIME AND THE AMERICAN PUT OPTION (pdf-file)

Babilua P., Bokuchava I., Dochviri B., Shashiashvili M. (Iv. Javakhishvili Tbilisi State University, 2, University Str., Tbilisi 0143, Georgia)

ON THE PRICING OF THE AMERICAN OPTION (pdf-file)

Baghaturia G. (Polytechnic University of Georgia; nbaghaturia@yahoo.com)
THE PROBLEM OF A NORMAL IMPACT OF QUARTER OF AN ELASTIC SPACE ON A FIXED RIGID BARRIER (pdf-file)

Bantsuri R., Odishelidze N., Kapanadze G. (A. Razmadze Mathematical Institute)
PROBLEMS OF PLANE THEORY OF ELASTICITY AND OF BENDING OF THIN PLATES WITH PARTIALLY UNKNOWN BOUNDARY (pdf-file)

Bitsadze L. (I. Vekua Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia)
ON SOME SOLUTIONS OF STATICS OF THE ELASTIC TRANSVERSALLY ISOTROPIC BINARY MIXTURES (pdf-file)

Bogveradze G. (Department of Mathematics, University of Aveiro)
ON THE FREDHOLM PROPERTY AND INDEX OF A WIENER-HOPF PLUS/MINUS HANKEL OPERATORS WITH PIECEWISE ALMOST PERIODIC SYMBOLS (pdf-file)

Bregvadze A.V., Saginadze I.S., Arkania Z.M, Lekveisvili D.M (The Poti Engineering-Economical Institute named after Akaki Tsereteli State University)
DEVELOPMENT OF OPTIMUM CIRCUITS OF  COAST GUARD IN AREA APPROACH CHANNEL TO PORT POTI (pdf-file)

Cicco S. De, Nappa L. (Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università degli Studi di Napoli "Federico II", Via Forno Vecchio 16, 80134 Napoli, Italy)
GENERAL THEOREMS IN THE THEORY OF MIXTURES WITH MEMORY (pdf-file)

Chilachava T. (Sokhumi branch of Tbilisi State University)
THE MATHEMATICAL MODELLING OF GASDYNAMICS PROBLEMS (pdf-file)

Chokoraia D. (Tbilisi State University)
THE BOUNDARY VALUE PROBLEM FOR THE SPHERICAL ZONE (pdf-file)

Davitashvili T.^1,, Ebel A.² (¹I.Vekua Institute of Applied Mathematics of Tbilisi State University, 2 University St., 0143, Tbilisi, Georgia. tedav@viam.hepi.edu.ge; ²Rhenish Institute for Environmental Research, University of Cologne Aachener Str. 209, 50931 Cologne, Germany; eb@eurad.uni-koeln.de)
NUMERICAL AND ANALYTICAL MODELING OF SPILLED OIL PENETRATION IN SOILS FOR RISK ASSESSMENT (pdf-file)

Dattoli G. (Italy), Gordeziani E., Gordeziani D. (Georgia)

(* ENEA Research Center in Frascati, Italy,

** Tbilisi State University, egord77@hotmail.com)

ON APPROXIMATE-ANALYTICAL AND DECOMPOSITION ALGORITHMS FOR INVESTIGATION OF SOME NON-CLASSICAL PROBLEMS (pdf-file)

R.Ewing*, R.Lazarov*, V.Makarov** , T.Vashakmadze ***

(*Texas A&M University; mailto:lazarov@imath.tamu.edu,%20richard-ewing@tamu.edu,
**Inst.Mathematic Uk.NAS; makarov@imath.kiev.edu,
***Iv. Javakhishvili Tbilisi St.University; tamazvashakmadze@yahoo.com)

NEW MATHEMATICAL MODELS FOR THIN-WALLED SOLID STRUCTURES AND PROJECTIVE METHODS FOR THEIR SOLUTION (pdf-file)

Geladze G., Davitashvili T., Skhirtladze N. (I. Vekua Institute of Applied Mathematics)
THE TAKING INTO ACCOUNT OF SOME RADIATION AND MICROPHYSICAL ELEMENTS IN ATMOSPHERE HUMIDITY PROCESSES (pdf-file)

Giorgadze G. (Tbilisi State University)
L_p-CONNECTION FOR HOLOMORPHIC PRINCIPAL BUNDLE ON RIEMANN SURFACES AND ITS APPLICATION (pdf-file)

Gogia A.. Meunargia T. (Iv. Javakhishvili Tbilisi State University)
SOME PROBLEMS OF THE STRESSES CONCENTRATION FOR NON-SHALLOW CYLINDRICAL SHELLS ON THE BASIS OF I.VEKUA'S THEORY (pdf-file)

Gulua B. (Zugdidi branch of Iv. Javakhishvili State Sniversity)
ON APPLICATION OF I. VEKUA'S METHOD FOR NON-LINEAR SHALLOW CYLINDRICAL SHELLS (pdf-file)

Gvazava J. (A.Razmadze Mathematical Institute)
ON GENERAL INTEGRALS AND SOME THEIR APPLICATIONS FOR A CLASS OF QUASILINEAR SECOND ORDER NON-UNIFORMLY ELLIPTIC EQUATIONS (pdf-file)

Kachiashvili K., Gordeziani D., Melikdzhanian D. (Tbilisi State University, kartlos5@yahoo.com, dgord37@hotmail.com)

SOFTWARE REALIZATION PROBLEMS OF MATHEMATICAL MODELS OF POLLUTANTS TRANSPORT IN RIVERS (pdf-file)

Kharibegashvili S. (A. Razmadze Mathematical Institute)
ON THE EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS OF THE CHARACTERISTIC CAUCHY AND DARBOUX PROBLEMS FOR THE MULTIDIMENSIONAL NONLINEAR WAVE EQUATIONS (pdf-file)

Khatiashvili N. ( Tbilisi State University)
ON SOME NEW REPRESENTATIONS ANALYTIC FUNCTIONS IN LATTICED DOMAINS (pdf-file)

Khomasuridze N., Janjgava R., Zirakashvili, N. ( I.Vekua Institute of Applied Mathematics)
EFFECTIVE SOLUTION OF SOME BOUNDARY VALUE PROBLEMS OF I.N.VEKUA'S SHELL THEORY (pdf-file)

Kobadze N. (I. Javakhishvili Tbilisi State University)

THE ASYMPTOTIC SOLUTION OF BLASIUS PROBLEMS WITH STRONG SUCTION (pdf-file)

Kokilashvili V., Paatashvili V. (A. Razmadze Mathematical Institute, Tbilisi, Georgia)
THE RIEMANN-HILBERT PROBLEM IN THE CLASS OF WEIGHTED CAUCHY-TYPE INTEGRALS WITH DENSITY IN L^p(·)(G )(pdf-file)

Komurjishvili O. (Tbilisi State University)
NEW SCHEMES OF A MULTIDIMENSIONAL EQUATION OF HEAT CONDUCTIVITY (pdf-file)

Koplatadze R. (Department of Mathematics University of Tbilisi, University St. 2, Tbilisi 0143, Georgia; roman@rmi.acnet.ge)
ON OSCILLATORY PROPERTIES OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE (pdf-file)

Kukudzanov S. (A. Razmadze Mathematical Institute)
ON OSCILLATIONS AND STABILITY OF ORTHOTROPIC SHELLS OF ROTATION, CLOSE TO THE CYLINDRICAL ONES (pdf-file)

Kutateladze G. (N.Muskhelishvili Institute of Computational Mathematics)
ON SOME BOUNDARY PROBLEMS OF HOLOMORPHIC FUNCTIONS THEORY AND THEIR APPLICATION TO THEORY OF ELASTICITY (pdf-file)

Jagmaidze A.
THE STATIC AND DYNAMICAL BOUNDARY-CONTACT VALUE PROBLEMS OF LINEAR THEORY OF ELASTIC MIXTURES (pdf-file)

Jangveladze T., Kiguradze Z. (Tbilisi State University)
LARGE TIME BEHAVIOR OF SOLUTIONS TO NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM ASSOCIATED WITH THE PENETRATION OF A MAGNETIC FIELD INTO A SUBSTANCE (pdf-file)

Jikidze L. (I. Javakhishvili Tbilisi State University)

UNSTEADY MAGNITOHYDRODYNAMIC FLOW OF LOW-CONDUCTIVE LIQUID IN THE NEIGHBORHOOD OF INFINITE ROTARY POROUS PLATE IN CASE OF VARIABLE SUCTION VELOCITY (pdf-file)

Mosia M. (Zugdidi Branch of Iv. Javakhishvili Tbilisi State University)
ON THE SOLVABILITY OF ONE BOUNDARY VALUE PROBLEM OF GEOMETRICALLY NONLINEAR THEORY OF PLATES (pdf-file)

Narmania M. (Zugdidi Branch of Iv. Javakhishvili Tbilisi State University)
THE SOLUTION OF ONE PROBLEM BY METHOD OF I. VEKUA FOR APPROXIMATION N=2 (pdf-file)

Natalini P., Ricci P. (Universita degli Studi Roma Tre, Dipartimento di Matematica, Largo San Leonardo Murialdo, 1, 00146 - Roma, Italia)
THE LAPLASIAN IN STRETCHED POLAR COORDINATES AND APPLICATIONS (pdf-file)

Peradze J. (Tbilisi State University)
ON THE APPROXIMATE SOLUTION OF THE KIRCHHOFF-BERNSTEIN NONLINEAR WAVE EQUATION (pdf-file)

Perelmuter M. (Institute for Problems in Mechanics of RAS Pr. Vernadskogo, 101-1, 119526, Moscow, Russia)
STRESS ANALYSIS OF BIMATERIAL BODIES WITH BRIDGED CRACKS UNDER THERMOMECHNICAL LOADING (pdf-file)

Sargsyan S. ( Head of Mathematical Analysis, Differential Equations Chair, Professor Gyumri State Pedagogical Institute, Armenia)
GENERAL THEORY OF ELASTIC MICROPOLAR THIN SHELLS (pdf-file)

Sharikadze J. (Iv. Javakhishvili Tbilisi State University; sharikadze@yahoo.com)

FALKNER-SKAN PROBLEMS FOR CONDUCTING FLUID WITH STRONG MAGNETIC FIELD (pdf-file)

Shavlakadze N. (A. Razmadze Mathematical Institute 1, M. Aleksidze St., Tbilisi 0193, Georgia; nusha@rmi.acnet.ge)

THE CONTACT PROBLEM FOR COMPOUND PLATE WITH AN ELASTIC SEMI-INFINITE INCLUSION (pdf-file)

Shulaia D. (I.Vekua Institute of Applied Mathematics)
GENERAL REPRESENTATION DOLUTIONS OF THE EQUATION OF LINEAR MULTIVELOCITY NUTRON TRANSPORT THEORY (pdf-file)

Sokhadze R. (Georgian Technical University; nsokhadze@rambler.ru)

NONLOCAL BOUNDARY VALUE PROBLEMS FOR MIXED TYPE EQUATION WITH STRONG PARABOLIC DEGENERACY IN THE DOMAIN (pdf-file)

Svanadze K. (Akaki Tsereteli State University, Kutaisi, Georgia; ngior2005@rambler. Ru)
ON ONE TWO-DIMENSIONAL INVERSE PROBLEM OF STATIC'S IN THE THEORY OF ELASTIC MIXTURES (pdf-file)

Tavkhelidze I. (I. Vekua Institute of Applied Mathematics, Tbilisi State University,

University Street 2, Tbilisi 0143, Georgia; i.tavkhelidze@math.sci.tsu.ge)
ANALYTIC REPRESENTATION AND CLASSIFICATION OF A WIDE SET OF GEOMETRIC FIGURES (pdf-file)

Toradze D. (Tbilisi State University, Tbilisi, Georgia)

THE BOUNDARY VALUE PROBLEMS OF MAGNETOELASTICITY DYNAMICS FOR IDEAL ELECTROCONDUCTIVE ISOTROPIC CIRCLE (pdf-file)

Tovmasyan N. (Armenia)
THE DIRICHLET PROBLEM FOR SECOND ORDER ELLIPTIC EQUATIONS IN A HALF-PLANE (pdf-file)

Tsagareli. I. (I.Vekua Institute of Applied Mathematics of Tbilisi State University)

SOLUTION TO THE BOUNDARY VALUE PROBLEMS OF STATICS OF THERMOELASTICITY THEORY OF BINARY MIXTURE FOR CIRCULAR DOMAINS (pdf-file)

Tskhvedadze R., Kipiani G. (Georgian Technical University, Tbilisi, Georgia)
CALCULATION OF SHELL TYPE THIN-WALLED COMPOSITE CONSTRUCTIONS (pdf-file)

Tsiklauri M., Rogava J. (Tbilisi State University)
THE FOURTH ORDER OF ACCURACY DECOMPOSITION SCHEME FOR ABSTRACT HYPERBOLIC EQUATIONS (pdf-file)

Tsutskiridze V. (Georgian Technical University)

HEAT TRANSFER WITH THE FLOW OF CONDUCTING FLUIDS IN CIRCULAR PIPES WITH FINITE CONDUCTIVITY UNDER UNIFORM TRANSVERSE MAGNETIC FIELDS (pdf-file)

Tvalchrelidze A.K. (A.Tsereteli's State University, Kutaisi)

GENERALIZATION SPATIAL PARAMETRIZATION IN THE I.N. VEKUA'S SHELL THEORY (pdf-file)

Ugulava D., Zarnadze D. (Niko Muskhelishvili Institute of Computing Mathematics)
ON THE APPLICATION OF RITZ'S EXTENDED METHOD TO APPROXIMATE SOLUTION OF INVERSE AND COMPUTING TOMOGRAPHY PROBLEMS (pdf-file)

Vashakmadze T., Chikashua R. ( Iv. Javakhishvili Tbilisi State University)
CALCULATION OF CLASSICAL ORTHOGONAL POLYNOMIALS. (pdf-file)

Wendland W.¹, Hsiao G.², Of G.³, Steinbach O.³ (¹ Univ. Stuttgart and Babes--Bolyai Univ.Cluj-Napoca, ²Univ. of Delaware, ³TU Graz,)
EFFICIENT BOUNDARY ELEMENT METHOD IN SOLID MECHANICS (pdf-file)