Ó À Ò Ü Ä Å É

**D. Bainov, S. Milusheva, and J. Nieto.**- Partially multiplicative
averaging for impulsive differential equations with supremum.
(English),
**110**(1994), 7-18

**R. Bantsuri.**- Boundary value problem of the bending of plate
with a partially unknown boundary. (Russian),
**110**(1994), 19-26

**T. Burchuladze.**- Conjugate fields in the theory
of elasticity. (Russian),
**110**(1994), 27-50

**I. Bukhnikashvili.**- On polynomials with small deviations from zero
and wih zero derivative at a point
*x*= 0. (Russian),**110**(1994), 51-58

**I. Vitrichenko and V. Nikolenko.**- On the reduction of a linear
nonautonomous system to quasi block-triangular (diagonal) form
in the case of the multiple zero eigenvalue of the limit matrix
of coefficients. (Russian),
**110**(1994), 59-66

**D. Gelashvili.**- On the solvability of some three-dimensional initial
boundary value problems of the generalized theory of thermal
couple-stress elasticity. (Russian),
**110**(1994), 67-82

**O. Jokhadze.**- The Cauchy problem on the whole for quasilinear
hyperbolic equations
*u*+_{x*x}*f*_{1}(*u*)*_{x}*f*_{2}(*u*)*_{y}*u*= 0. (Russian),_{xy}**110**(1994), 83-90

**O. Meunargia.**- Some effectively factorizable
matrix-functions. (Russian),
**110**(1994), 91-98

**I. Sakhokia, R. Sulikashvili, and E. Elerdashvili.**- On libration
points in the problem of three bodies. (Russian),
**110**(1994), 99-108

**O. Shindjikashvili.**- The problem of pressure of a punch
on inhomogeneous half-plane free from friction. (Russian),
**110**(1994), 109-116

**O. Shindjikashvili.**- Inhomogeneous half-plane with a semi-infinite
stringer along the boundary. (Russian),
**110**(1994), 117-125

**S. Saneblidze.**- Perturbation and obstruction theories
in fibre spaces. (Russian),
**111**(1994), 5-106

**I. Genebashvili.**- Weak Type Weighted Inequalities for
Iterated Maximal Functions and the Weighted Spaces
*L*(1 + log^{+}*L*)^{k},**112**(1997), 3-22

**A. Gogatishvili.**- Two-Weight Mixed Inequalities in Orlicz
Classes for Fractional Maximal Functions Defined on
Homogeneous Type Spaces,
**112**(1997), 23-56

**V. Kokilashvili and A. Meskhi.**- Two-Weight Inequalities for
Singular Integrals Defined on Homogeneous Groups,
**112**(1997), 57-90

**A. Meskhi.**- Two-Weight Inequalities for Potentials Defined
on Homogeneous Groups,
**112**(1997), 91-112

**Vjacheslav S. Rychkov.**- Some Weighted Hardy-Type
Inequalities and Applications,
**112**(1997), 113-132

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**M. Khabazi.**- Metric Properties of Fourier Series
in Weighted Function Classes,
**112**(1997), 133-137

**V. Kokilashvili and A. Meskhi.**- Two-Weight Inequalities
for the Hardy Operator on the Lorentz Spaces
Defined on Homogeneous Groups,
**112**(1997), 138-140

**V. Kokilashvili.**- On Two-Weight Inequalities for
Conjugate Functions,
**112**(1997), 141-142

**V. Kokilashvili and A. Meskhi.**- Two-Weight Inequalities for
Singular Integrals on the Lorentz Spaces Defined
on Homogeneous Groups,
**112**(1997), 143-145

**L. Kokilashvili.**- On Non-Oscillatory
:Differential: Equations,
**112**(1997), 146-147

**A. Meskhi.**- Two-Weight Inequalities for Potentials on the Lorenz
Spaces Defined on Homogeneous Groups,
**112**(1997), 148-150

**T. Datuashvili.**- Whitehead homotopy equivalence and internal category equivalence of crossed modules in categories of groups with operations,
**113**(1995), pp. 3-30.

**J. Gubeladze.**- Geometric and algebraic representations of commutative cancellative monoids,
**113**(1995), pp. 31-81.

**M. Jibladze.**- Some strange monoidal categories,
**113**(1995), pp. 83-93.

**T. Kandelaki.**- K-Theory of Z
_{2}-graded banach categories. II,**113**(1995), pp. 95-119.

**Z. Mushkudiani.**- K
_{2}-Groups of monoid algebras over regular rings,**113**(1995), pp. 121-137.

**V. Nikolaishvili.**- On differential forms of infinite degrees. I,
**113**(1995), pp. 139-153.

**D. Zangurashvili.**- On some categorical algebraic properties of functor categories. II,
**113**(1995), pp. 155-172.

**K. Aptsiauri.**- On the Generalized Riemann-Hilbert-Poincaré
Problem in Domains with Piecewise Smooth Boundaries. (English),
**114**(1997), 3-26

**O. Dzagnidze.**- Total Differential of the Indefinite Lebesgue
Integral. (English),
**114**(1997), 27-34

**L. Ephremidze.**- On Approximate Factorization of the Spectral
Measures of Stationary Processes. (English),
**114**(1997), 35-38

**L. Mamulashvili.**- Generalized Problem of Riemman on Domains
with Piecewise-Smooth Boundary. (English),
**114**(1997), 39-58

**A. Meskhi.**- Koosis Type Theorems for Singular Integrals and
Potentials Defined on Homogenous Groups. (English),
**114**(1997), 59-70

**V. A. Paatashvili and G. A. Khuskivadze.**- On the Inclusion of the
Cauchy Type Integrals into the Smirnov's Classes. (English),
**114**(1997), 71-80

**V. A. Paatashvili and G. A. Khuskivadze.**- On Conformal Mapping
of Simply Connected Domains with a Piecewice Smooth
Boundary. (English),
**114**(1997), 81-88

**A. Saginashvili**- Singular Integral Operators with
Shift Outside the
Integration Contour. (English),
**114**(1997), 89-98

**Sh. Tetunashvili.**- On the Convergence of Multiple Trigonometric
Series. (English),
**114**(1997), 99-106

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**O. Dzagnidze.**- Associated Integrals, Functions, Series and a
Radial Derivative of the Poisson Spherical Integral. (English),
**114**(1997), 107-111

**A. Gogatishvili.**- Maximal Functions and Singular Integrals
on
*L*^{p, j}-Spaces. (English),**114**(1997), 112-115

**R. Katamadze.**- On Poincare Problem for a Finite Riemann
Surface. (English),
**114**(1997), 116-118

**V. Kokilashvili and A. Meskhi.**- Two-weight Inequalities for Hardy
Type Transforms and Singular Integrals Defined on
Homogeneous Type Spaces. (English),
**114**(1997), 119-123

**V. Paatashvili and G. Khuskivadze.**- On the Continuity of the
Cauchy Operator from the Space
*L*(G) to_{p}*L*(G) for_{q}*p*>*q*³ 1. (English),**114**(1997), 124-125

**R. Chitashvili.**- On the Nonexistence of a Strong
Solution in the Boundary Problem for a
Sticky Brownian Motion. (English),
**115**(1997), 17-32

**O. Glonti and Z. Khechinashvili.**- Financial
(
*B*,*S*)-Market with Gaussian Martingale. Mean Square Optimal Hedging Strategies. (English),**115**(1997), 33-44

**Yu. Kutoyants.**- On Semiparametric Estimation for
Ergodic Diffusion. (English),
**115**(1997), 45-58

**N. Lazrieva and T. Toronjadze.**- Robust Estimators in
Discrete Time Statistical Models.
Contiguous Alternatives. (English),
**115**(1997), 59-96

**N. Lazrieva and T. Toronjadze.**- Influence Functionals
for Discrete Time Statistical Models. Weakely
Contiguous Alternatives. (English),
**115**(1997), 97-120

**M. Mania.**- Derivation of a Generalized Black-Sholes
Equation. (English),
**115**(1997), 121-148

**T. Sharia.**- Truncated Recursive Estimation
Procedure. (English),
**115**(1997), 149-159

**N. Berikashvili.**- Zur Homologietheorie der
Faserungen I. (English),
**116**(1998), 1-30

**N. Berikashvili.**- Zur Homologietheorie Von
Faserungen II. (English),
**116**(1998), 31-100

**L. Ephremidze, G. Janashia, and E. Lagvilava.**- On the
Factorization of Unitary Matrix-Functions. (English),
**116**(1998), 101-106

**I. Gabisonija and A. Meskhi.**- Two-Weighted
Inequalities for a Discrete Hilbert Transform. (English),
**116**(1998), 107-122

**G. Khuskivadze and V. Paatashvili.**- On the Conformal
Mapping of a Circle Onto a Domain with an Arbitrary
Piecewise Smooth Boundary. (English),
**116**(1998), 123-132

**O. Purtukhia.**- On the Representation of
Measure-Valued Solutions of Second Order
Stochastic Parabolic Equations. (English),
**116**(1998), 133-158

**G. Berikelashvili.**- The Difference Schemes of High Order Accuracy
for Elliptic Equations with Lower Derivatives. (English),
**117**(1998), 1-6

**D. Edmunds, V. Kokilashvili and A. Meskhi.**- Boundedness
and Compactness of Hardy-type Operators in Banach
Function Spaces. (English),
**117**(1998), 7-30

**N. Inassaridze.**- Relationship of Non-abelian
Tensor Products and Non-abelian Homology
of Groups with Whitehead's Gamma Functor. (English),
**117**(1998), 31-52

**T. Kadeishvili.**- Attaching Cells and the Rational Homotopy
Type. (English),
**117**(1998), 53-70

**G. Khuskivadze.**- Application of an Extension of the Lebesgue
Integral to the Investigation of a Boundary Value
Problem of Linear Conjugation. (English),
**117**(1998), 71-78

**O. Shindzhikashvili.**- On an Application of the Theory of
Functions of a Complex Variable to the Plane Problem
of Non-homogeneous Theory of Elasticity. (English),
**117**(1998), 79-88

**Z. Tsigroshvili.**- Some Notes on Goodness-of-fit
Tests and Innovation Martingales. (English),
**117**(1998), 89-102

**Z. Omiadze.**- II-Categories. Identity 1-Arrow Retracts,
Coretracts and Isomorphic 1-Arrows. (English),
**117**(1998), 103-122

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**D. E. Edmunds and V. Kokilashvili.**- Two-weight Compactness
Criteria for Potential type Operators. (English),
**117**(1998), 123-125

**A. Meskhi.**- Boundedness and Compactness Weighted Criteria
for Riemann-Liouville and One-sided Maximal Operators. (English),
**117**(1998), 126-128

**K. Gelashvili.**- Convergence Criterion for
*C*^{µ}(*R*) in the Topology of Compact Convergence of All Derivatives. (English),^{n}**117**(1998), 129-130

**M. Okropiridze.**- Symmetric Differentiability of
Functions of Two Variables. (English),
**117**(1998), 131-134

**A. Alimov.**- The Number of Connected
Components of Chebishev Sets and "Sun's" Complement. (English),
**117**(1998), 135-136

**N. Antonov.**- The Convergence Almost
Everywhere of Fourier Series. (English),
**117**(1998), 137-138

**L. Ephremidze.**- On Reverse Weak (1, 1) Type Inequalities for
the Maximal Operators with Respect to an Arbitrary Measure. (English),
**117**(1998), 139-140

**W. Farkas.**- Atomic and Subatomic
Decompositions in Anisotropic Function Spaces. (English),
**117**(1998), 141-143

**I. Gabisonija.**- Two-weight Inequalities for Discrete
Operators. (English),
**117**(1998), 144-146

**U. Goginava.**- On the Convergence and Summability of Multiple
Fourier-Walsh Series in
*L*([0, 1]^{p}^{N}),*p*Î [1, +µ] Spaces. (English),**117**(1998), 147-149

**A. Meskhi.**- Weighted Inequalities for Riemann-Liouville Transform. (English),
**117**(1998), 150-152

**V. Rychkov.**- Existence of Linear Extension Operator for
Traces of Function Spaces on Irregular Domains. (English),
**117**(1998), 153-154

**M. Okropiridze.**- Radial Limits of Derivatives
of the Spherical Poisson Integral. (English),
**117**(1998), 155-156

**G. Oniani.**- On Upper and Lower Derivatives of
Lebesgue Integral. (English),
**117**(1998), 157-159

**Sh. Tetunashvili.**- On Some Properties of Multiple
Trigonometric Series. (English),
**117**(1998), 160-161

**Academician Giorgi Chogoshvili.**- ,
**118**(1998), 1-2

**C. Bardaro, J. Musielak and G. Vinti.**- Some modular
inequalities related to the Fubini-Tonelli theorem. (English),
**118**(1998), 3-19

**G. Berikelashvili.**- On the rate of convergence of the difference
solution of the bending problem of the orthotropic
plates. (English),
**118**(1998), 21-32

**M. Jibladze.**- Lower bagdomain as a glueing. (English),
**118**(1998), 33-41

**E. Khmaladze.**- On cohomology monoids of small categories. (English),
**118**(1998), 43-51

**G. Khuskivadze.**- On the derivative of a
conformally mapping function. (English),
**118**(1998), 53-64

**S. Kukudzhanov.**- Eigenoscillations of preliminarily twisted
shells of revolution close to cylindrical
ones. (English),
**118**(1998), 65-72

**N. Lazrieva and T. Toronjadze.**- Robust estimators in statistical
models associated with semimartingales. (English),
**118**(1998), 73-100

**G. Lomadze.**- On some entire modular forms of half-integral
weight for the congruence group
G
_{0}(4*N*). (English),**118**(1998), 101-109

**B. Magradze.**- Analytic approach to perturbative quantum
chromodynamics and the Lambert
*w*function. (English),**118**(1998), 111-115

**M. Nowak.**- Mackey topologies of Orlicz-Bochner spaces. (English),
**118**(1998), 117-126

**M. Okropiridze.**- Symmetrically continuous
functions of two variables. (English),
**118**(1998), 127-134

**M. Shashiashvili.**- On the excursion intervals away from the
boundary for the reflected Brownian motions . (English),
**118**(1998), 135-146

**O. Shindzhikashvili.**- On one contact problem of the
non-homogeneous theory of elasticity. (English),
**118**(1998), 147-157

**Corresponding Member of Georgian Academy of Sciences**

Nodar Berikashvili.- ,
**119**(1999), 1-2

**G. Berikelashvili.**- On the solvability of a nonlocal boundary value
problem in the weighted sobolev spaces. (English),
**119**(1999), 3-11

**G. Donadze.**- Cyclic homology of smooth algebras containing
*Z*. (English),**119**(1999), 13-20

**A. Elashvili and M. Jibladze.**- ''Hermite reciprocity'' for semi-invariants
in the regular representations of cyclic groups. (English),
**119**(1999), 21-24

**R. Gachechiladze and O. Maisaia.**- Some boundary value problems
of the couple-stress elasticity with frictions. (English),
**119**(1999), 25-41

**T. Gelashvili and A. Lashkhi.**- Coset Lattices and the Fundamental
Theorem of Affine Geometry for Lie Algebras. (English),
**119**(1999), 43-58

**J. Huebschmann.**- Berikashvili's functor
*D*and the deformation equation. (English),**119**(1999), 59-72

**T. Kadeishvili.**- DG Hopf Algebras with Steenrods
*I*-th Coproducts,**119**(1999), 73-84

**G. Kalyabin.**- On extrapolations with minimal norms in bernstein
classes. (English),
**119**(1999), 85-92

**S. Khazhomia and M. Mikiashvili.**- On singular homology theory which
is based on a family of convex polyhedra. (English),
**119**(1999), 93-110

**G. Khimshiashvili.**- On one class of exact poisson structures. (English),
**119**(1999), 111-120

**V. Lomadze.**- Time-varying linear dynamical systems. (English),
**119**(1999), 121-132

**T. Meunargia.**- On one method of construction of geometrically and
physically nonlinear theory of non-shallow shells. (English),
**119**(1999), 133-154

**S. Saneblidze.**- On the homotopy classification of spaces by the
fixed loop space homology. (English),
**119**(1999), 155-164

**R. Chitashvili and M. Mania.**- Stochastic Line Integrals with Respect
to Local Martingales and Semimartingales. (English),
**120**(1999), 1-26

**A. Dzhishkariani and G. Khvedelidze.**- Projective-iterative
Method of Solution of Integral Equations. (English),
**120**(1999), 27-47

**L. Ephremidze.**- On Approximate Factorization of Positively
Definite Matrix Functions of Second Order. (English),
**120**(1999), 49-56

**K. Gelashvili.**- Rays and Their Algebraic-limiting Properties
in a Monoid of Special Type. (English),
**120**(1999), 57-106

**N. Samko.**- Singular Integral Operators in Weighted
Spaces with Generalized Hölder Condition. (English),
**120**(1999), 107-134

**N. Shavlakadze.**- On Singularities of Contact Stress Upon
Tension and Bending of Plates with Elastic Inclusions. (English),
**120**(1999), 135-147

**Sh. Tetunashvili.**- On Absolute Convergence of Trigonometric
Series. (English),
**120**(1999), 149-151

**M. Zakradze, Z. Natsvlishvili and Z. Sanikidze.**- On One
Approximate Method of the Conformal Mapping. (English),
**120**(1999), 153-164

**R. Bantsuri.**- On One Mixed Type Boundary Value Problem of the
Theory of Analytic Functions. (English),
**121**(1999), 1-8

**M. Esmaganbetov.**- On Diameters in
*L*_{2}of Classes of Differentiable Functions. (English),**121**(1999), 9-16

**K. Gelashvili.**- Ordinary Differential Equations in a Near-Semiring
of Special Type. (English),
**121**(1999), 17-62

**U. Goginava.**- On the Divergence of Trigonometric Fourier Series
of the Class
*H*^{w}Ç BV(*p*(*n*) µ ). (English),**121**(1999), 63-70

**R. Kurdiani.**- Universal Central Extensions of Restricted
Lie Algebras. (English),
**121**(1999), 71-87

**G. Lepsveridze.**- On Order of Growth of Rectangular Integral Means
of Summable Functions. (English),
**121**(1999), 89-107

**Sh. Makharadze.**- Remarks on the Theory of Binary Relation
Semigroups. (English),
**121**(1999), 109-116

**F. Mamedov.**- On Two-Weighted Sobolev Inequality in Unbounded
Domains. (English),
**121**(1999), 117-123

**V. Shevchik.**- Remarks on
*L*Mapping Properties of a Model Semi-Elliptic Differential Operator. (English),_{p}-**121**(1999), 125-134

**D. Ugulava.**- On the Approximation by Exponential Spherical
Type Entire Functions in Some Hardy Spaces. (English),
**121**(1999), 135-150

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**V. Kokilashvili.**- On the Compactness of Potentials on HTS. (English),
**121**(1999), 153-154

**G. Lepsveridze.**- A Note on the Strong Differentiability of Integrals
Along Different Directions in
**R**^{n}(*n*³ 3). (English),**121**(1999), 155-156

**G. Lepsveridze.**- On Order of Growth of Rectangular Integral Means
of Summable Functions from
*L*(**R**^{n}) (*n*³ 2). (English),**121**(1999), 157-158

**Z. Meshveliani and V. Paatashvili.**- On Harmonic Functions
From Smirnov's Class. (English),
**121**(1999), 159-160

**A. Meskhi.**- Criteria for the Boundedness and Compactness for the
Generalized Riemann-Liouville Transform. (English),
**121**(1999), 161-162

**Sh. Tetunashvili.**- On the Uniqueness of Double
Function Series. (English),
**121**(1999), 163-164

**R. Absava and E. Nadaraya.**- On quadratic measure of deviation of
non-parametric estimation of the Gasser-Müller
regression function. (English),
**122**(2000), 1-14

**J. M. Ash and G. Wang.**- Sets of uniqueness of the power
of the continuum. (English),
**122**(2000), 15-19

**G. Berikelashvili.**- Finite difference schemes for elliptic equations
with mixed boundary conditions. (English),
**122**(2000), 21-31

**A. Danelia.**- On the deformation of the classes
*H*(w;*L*(*T*)). (English),^{m}**122**(2000), 33-44

**R. Gachechiladze.**- Signorini's problem with friction for a layer
in the couple-stress elasticity. (English),
**122**(2000), 45-57

**V. Kokilashvili and A. Meskhi.**- Norms of positive operators on some
cones of functions defined on measure spaces. (English),
**122**(2000), 59-78

**V. Kolesov and L. Shapakidze.**- On transition near the
intersection point of bifurcations in the flow
between two rotating permeable cylinders. (English),
**122**(2000), 79-91

**S. Kukudzhanov.**- Stability of orthotropic shells of
revolution, close to cylindrical ones, with elastic
filler under torsion. (English),
**122**(2000), 93-104

**G. Lepsveridze.**- On the spherical divergence of double
fourier-haar series. (English),
**122**(2000), 105-123

**G. Lominashvili and M. Shashiashvili.**- The approximation to the
value function of the optimal stopping problem by
discretized variational inequalities. (English),
**122**(2000), 125-136

**A. Mosidze and Z. Tsigroshvili.**- About the boundaries for the
Mill's ratio. (English),
**122**(2000), 137-158

**B. Szal.**- On the strong approximation by Fourier
series in Lipschitz norms. (English),
**122**(2000), 159-170

**A. Danelia.**- Deformations of the
*Z*(w_{2};*L*(*T*)) Classes. (English),^{m}**123**(2000), 1-13

**I. Dochviri.**- On Some Properties of Semi-Compact and
*S*-closed Bitopological Spaces. (English),**123**(2000), 15-22

**O. Dzagnidze.**- A Necessary and Sufficient Condition
for Differentiability Functions of Several
Variables. (English),
**123**(2000), 23-29

**G. Kapanadze.**- Boundary Value Problem of Plate Banding
for a Finite Doubly-Connected Region. (English),
**123**(2000), 31-40

**L. Lazarashvili and M. Zakradze.**- On the Method of Fundamental
Solutions and Some Aspects of its Application. (English),
**123**(2000), 41-51

**G. Lomadze.**- On the Number of Representations
of Positive Integers
by a Direct Sum of Quaternary Quadratic Forms
with Discriminant 19
^{2}. (English),**123**(2000), 53-59

**Z. Meshveliani and V. Paatashvili.**- On Smirnov Classes
of Harmonic Functions, and the Dirichlet Problem. (English),
**123**(2000), 61-91

**Z. Natsvlishvili, Z. Sanikidze and M. Zakradze.**- On Conformal
Mapping of a Unit Disk onto a Finite Domain. (English),
**123**(2000), 93-103

**M. Okropiridze.**- Symmetric Differentiability of Functions
of Two Variables. (English),
**123**(2000), 105-115

**Y. Rakotondratsimba.**- Two-Dimensional Discrete Hardy Operators
in Weighted Lebesgue Spaces with Mixed Norms. (English),
**123**(2000), 117-134

**N. Shavlakadze.**- Contact Problem of an Elastic Plane
Strengthened
by a Periodic System of Inclusions of Variable
Rigidity. (English),
**123**(2000), 135-146

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**E. Gordadze.**- On the Boundary Value Problem
of Linear Conjugation
in the Case of Non-Smooth Lines and Some Measurable
Coefficients. (English),
**123**(2000), 149-151

**G. Lepsveridze and D. Mchedlishvili.**-
Some Maximal Inequalities. (English),
**123**(2000), 152-155

**G. Lepsveridze.**- A Note on the Divergence of the Fejer Means
of Multiple Trigonometric Fourier Series. (English),
**123**(2000), 156-158

**G. Lepsveridze.**- A note on the Zygmund's Problem of a Strong
Differentiability. (English),
**123**(2000), 159-161

**A. Meskhi.**- On the Measure of Non-Compactness and Singular
Numbers for the Volterra Integral Operators. (English),
**123**(2000), 162-165

**A. Abramyan, V. Nogin and S. Samko.**-
Fractional Powers of the Operator -|
*x*|^{2}D in*L*-spaces,_{p}**124**(2000), 1-22

**O. Dzagnidze.**-
On the Limit and Continuity of Functions of Several Variables,
**124**(2000), 23-29

**A. Dzhishkariani and A. Svanidze.**-
On the Residual Convergence in Projective and Projective-Iterative Methods,
**124**(2000), 31-54

**U. Goginava.**-
On the Uniform Summability of Two-Dimensional Trigonometric Fourier Series,
**124**(2000), 55-72

**N. Karapetiants and S. Samko.**-
Singular Integral Equations on the Real Line With a Fractional-Linear
Carleman Shift,
**124**(2000), 73-106

**G. Khuskivadze and V. Paatashvili.**-
On the Boundedness of the Cauchy Singular Operator,
**124**(2000), 107-114

**N. Lazrieva and T. Toronjadze.**-
The Polyak Weighted Averaging Procedure for Robbins-Monro Type SDE,
**124**(2000), 115-130

**V. Tsagareishvili.**-
On the Fourier Coefficients for General Orthonormal Systems,
**124**(2000), 131-50

**D. Valcan.**-
On Some Homomorphisms of Direct Sums of Modules,
**124**(2000), 151-162

**G. Khimshiashvili**-
Signature Formulae for Topological Invariants,
**125**(2001), 1-121

**A. Baghdasaryan.**-
On One Approach to the Intersection Problem of Peetre,
**126**(2001), 1-10

**M. Benchohra and S. Ntouyas.**-
Existence Results on Noncompact Intervals for Functional Differential and Integrodifferential
Inclusions in Banach Spaces,
**126**(2001), 11-24

**L. Gogolauri and N. Shavlakadze.**-
Contact Problem of Bending of a Rectangular Elastic Plate with an Elastic Inclusion,
**126**(2001), 25-35

**Z. Meshveliani.**-
The Neumann Problem in Domains with Piecewise Smooth Boundaries in Weight Classes of Harmonic Smirnov Type Functions,
**126**(2001), 37-52

**Z. Meshveliani and V. Paatashvili.**-
On the Dirichlet Problem in Smirnov Classes of Harmonic Functions,
**126**(2001), 53-57

**M. Mirianashvili and \framebox{Z. Samsonia.}**-
On the Calculation of Radii Connected with Some Quasi-conformal Mappings of
Multiply-Connected Domains,
**126**(2001), 59-64

**O. Shindzhikashvili.**-
Application of the Methods of Analytic Functions to the Solution of Boundary
Value Problems of Elasticity for a Non-homogeneous Half-plane,
**126**(2001), 65-74

**A. Tsitskishvili.**-
Solution of a Problem of the Theory of Filtration Through a Plane Earth Dam
(Coffer-dam) when Water Depth in a Downstream can be Neglected,
**126**(2001), 75-96

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**I. Bukhnikashvili.**-
On an Approximate Solution of the Linear Operator Equation by Richardson's Cyclic Method,
**126**(2001), 99-102

**I. Gabisonija.**-
The Boudedness of Discrete Operators in Weighted Spaces,
**126**(2001), 103-105

**E. Gordadze.**-
On One Consequence of the Theorem on Weights,
**126**(2001), 106-109

**T. Kandelaki.**-
Algebraic and Topological Bivariant
*KK*-Theories of*C*^{*}-Algebras and their isomorphism,**126**(2001), 110-112

**G. Lepsveridze.**-
To the Categorial Saks Theorem,
**126**(2001), 113-116

**G. Lepsveridze.**-
On the Growth Order Integral Means Functions from Orlicz Class
*L*F(*L*)(**R**^{2}),**126**(2001), 117-118

**A. Meskhi.**-
Criteria of the Boundedness and Compactness for the Riemann-Liouville Type Discrete Operators,
**126**(2001), 119-121

**G. Oniani.**-
On a Strong Differentiation of Multiple Integrals Along Different Frames, II,
**126**(2001), 122-125

**G. Oniani.**-
On the Fourier-Haar Series Convergence with Respect to Sets which are Homothetic to the Given Set,
**126**(2001), 126-128

**Sh. Tetunashvili.**-
On Polynomials with Respect to Some Orthogomal Systems,
**126**(2001), 129

**R. Absava and E. Nadaraya.**-
On the limit Distribution of Square Deviation of a Wide Class of Estimators of
Functional Characteristics of the Observation Distribution Law,
**127**(2001), 1-62

**V. Baladze and L. Turmanidze.**-
On Uniform Shape Theory with Precompact Supports,
**127**(2001), 63-75

**G. Berikelashvili.**-
Finite Difference Schemes for Some Mixed Boundary Value Problems,
**127**(2001), 77-87

**T. Kandelaki.**-
Multiplier and Hilbert
*C*^{*}-categories,**127**(2001), 89-111

**G. Lomadze.**-
On the Number of Representations of Positive Integers by the Quadratic Forms
*x*_{1}^{2}+*x*_{2}^{2}+ 4(*x*_{3}^{2}+ ... +*x*_{9}^{2}) and*x*_{1}^{2}+ 4(*x*_{2}^{2}+ ... +*x*_{9}^{2}),**127**(2001), 113-132

**Ya. Diasamidze.**-
To the theory of the binary relation
semigroups,
**128**(2002), 1-15

**Ya. Diasamidze.**-
Right units in the binary relation
semigroups,
**128**(2002), 17-36

**O. Dzagnidze.**-
The continuity and the limit in the wide. Their
connection with the continuity and limit,
**128**(2002), 37-46

**A. Karelin.**-
On the operator equality and some of its
application,
**128**(2002), 47-63

**S. Kukudzhanov.**-
On the influence of boundary conditions on eigen
oscillations and on stability of beforehand stressed orthotropic shells
of revolution, close by their form to cylindrical ones,
**128**(2002), 65-77

**G. Lominashvili and M. Shashiashvili.**-
The approximation to the value
function of the optimal stopping problem on a finite time
interval by discretized variational inequalities,
**128**(2002), 79-100

**F. I. Mamedov.**-
Poincaré type weight inequalities in domains
with the condition of isoperimetric type,
**128**(2002), 101-112

**A. Tarasenko.**-
On the exceptional values of operator-valued
functions with the derivative in the Hardy class,
**128**(2002), 113-119

**A. Tsitskishvili.**-
On the motion of underground waters towards
a slope of an earth structure,
**128**(2002), 121-146

**I. Tsivtsivadze.**-
On derivatives of an indefinite double
integral,
**128**(2002), 147-154

**O. Dzagnidze.**-
Unilateral in Various Senses: the Limit, Continuity, Partial
Derivative and the Differential for Functions of Two Variables,
**129**(2002), 1-15

**P. Jain, L. Persson and A. Wedestig.**-
Multidimensional Cochran
and Lee Type Inequalities with Weights,
**129**(2002), 17-27

**D. N. Karasev, V. A. Nogin.**-
Estimates for the Acoustic
Potentials and their Application,
**129**(2002), 29-51

**M. Khabazi.**-
Modular Weighted Inequalities for Partial
Sums of Fourier-Vilenkin Series,
**129**(2002), 53-63

**M. Khabazi.**-
The Mean Convergence of Trigonometric Fourier
Series in Weighted Orlicz Classes,
**129**(2002), 65-75

**M. Khabazi.**-
Weighted Orlicz Class Inequalities for Certain
Fourier Operators,
**129**(2002), 77-86

**N. Koblishvili and M. Zakradze.**-
On Approximate Solution of Dirichlet
Problem in the Case of Infinite Plane with Hole,
**129**(2002), 87-98

**V. A. Nogin and S. G. Samko.**-
Inversion and Characterization of Riesz
Potentials in Weighted Spaces Via Approximative Inverse Operators,
**129**(2002), 99-106

**M. Okropiridze.**-
On One Property of a Conjugate Trigonometric
Series,
**129**(2002), 107-111

**A. Ya. Yakubov.**-
Classes of Functions of Pseudo-Concave Type
and Their Applications,
**129**(2002), 113-128

**M. Zakradze.**-
On one Modified Version of MFS for Conformal
Mapping of Infinite Domain onto Unit Disk,
**129**(2002), 129-141

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**V. Kokilashvili and S. Samko.**-
Maximal and Fractional Operators
in Weighted
**L**^{ p(x)}Spaces,**129**(2002), 145-149

**V. Kokilashvili and S. Samko.**-
Singular Integrals and Potentials
in Some Banach Function Spaces with Variable Exponent,
**129**(2002), 150-155

**A. Meskhi.**- On a Measure of Non-compactness for the Riesz
Transforms,
**129**(2002), 156-157

**G. Oniani.**- On the Non-compactness of Maximal Operators,
**129**(2002), 158-159

**G. Oniani.**- On A
_{1}-Weights for Maximal Operators Corresponding to Translation Invariant Bases Formed of Intervals,**129**(2002), 160-162

**R. Bantsuri.**-
On the Splitting of an Orthotropic Plane,
**130**(2002), 1-6

**N. Gamkrelidze and T. Shervashidze.**-
On a Local Limit Theorem
for Lattice Distributions,
**130**(2002), 7-22

**H. Latipov and M. Sagatov.**-
On the Application of Qualitative
Methods to Certain Problems of Natural Sciences,
**130**(2002), 23-38

**M. Mania and R. Tevzadze.**-
Backward Stochastic PDE and Hedging
in Incomplete Markets,
**130**(2002), 39-72

**Sh. Mzhavanadze.**-
On One Problem of the Plane Theory of Elasticity
with Partially Unknown Boundary,
**130**(2002), 73-84

**M. Okropiridze.**-
Radial Limits for Partial Derivatives of the
Poisson Spherical Integral,
**130**(2002), 85-100

**O. Purtukhia.**-
Fubini Type Theorems for Ordinary and
Stochastic Integrals,
**130**(2002), 101-114

**A. Saginashvili.**-
On Integral Equations with Fixed
Singularities,
**130**(2002), 115-124

**M. Okropiridze.**-
On the Bifurcation of Viscous Flows Between
two Permeable Cylinders in the Presence of a Transverse
Pressure Gradient,
**130**(2002), 125-132

**D. Zeragia.**-
On Bifurcation of Equilibrium forms of a Bar
Axis Under Complicated Resistance to Compression
and Bending,
**130**(2002), 133-138

**G. Zhorzholiani.**-
On one Inverse Problem of the Plane
Theory of Elasticity,
**130**(2002), 139-144

**R. Absava and E. Nadaraya.**-
On a Statistic for Testing the
Hypothesis of the Equality of Several Distribution Densities,
**131**(2003), 1-16

**J. Marshall Ash.**-
Counterexample Without Cases,
**131**(2003), 17-19

**Ya. Diasamidze and Sh. Makharadze.**-
Maximal Subgroups
of Complete Semi-groups of Binary Relations,
**131**(2003), 21-38

**P. Jain, P. K. Jain and B. Gupta.**-
On Certain Double Sized
Integral Operators over Multidimensional Cones,
**131**(2003), 39-60

**V. Kokilashvili and S. Samko.**-
Singular Integral Equations
in the Lebesgue Spaces with Variable Exponent,
**131**(2003), 61-78

**V. Tsagareishvili.**-
Absolute Convergence of the Fourier Series
and the Fourier-Haar Coefficients,
**131**(2003), 79-99

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**Z. Avaliani.**-
Maximal Subgroups of a Class of Semigroups
of Binary Relations,
**131**(2003), 103

**T. Datuashvili.**-
Central Series for Groups With
Action and
Leibniz Algebras,
**131**(2003), 104

**Il. Diasamidze.**-
Semigroups $B_X(D)$ Defined by Finite $X$-Chains,
**131**(2003), 105-106

**Ya. Diasamidze and Il. Diasamidze.**- Semigroups $B_X(D)$
Defined by Finite $X$-Chains,
**131**(2003), 101-108

**Ya. Diasamidze.**-
Irreducible Elements of the Semigroup $B_X(D)$,
**131**(2003), 109-110

**G. Donadze and N. Inassaridze.**-
Generalised Hopf
Type
Formulas,
**131**(2003), 111-113

**L. Esakia.**-
A Topological Interpretation of Provability Predicate
in Peano Arithmetic and Zermelo-Fraenkel Set Theory,
**131**(2003), 114-115

**G. Fartenadze.**-
Semigroups $B_X(D)$ Determined by
Join
$X$-semilattices of Class $\Sigma_1(X,6)$,
**131**(2003), 116

**O. Givradze.**-
Some Properties of the Semigroup $B_X(D)$
Determined by a Semilattice of Class $\Sigma_1(X,4)$,
**131**(2003), 117-120

**O. Givradze.**-
The Number of Equivalences on a Finite Set,
**131**(2003), 121-122

**N. Inassaridze and E. Khmaladze.**-
Non-abelian
(Co)Homology
of Lie Algebras,
**131**(2003), 123-125

**G. Janelidze.**-
Protomodular and Semiabelian Categories,
**131**(2003), 126-127

**M. Jibladze.**-
Notions of Fibrewise Discreteness,
**131**(2003), 128-129

**T. Kadeishvili.**-
$A(\infty )$-algebras and
Hochschild Cohomology,
**131**(2003), 130-132

**T. Kandelaki.**-
Vanishing of Hochschild, Cyclic and Periodic
Homologies on the Category of Fredholm Modules,
**131**(2003), 133-134

**R. Katamadze.**-
Functorial Properties of Generalized
Relative
Cohomology Groups of Adamson-Hochschild Cohomologies,
**131**(2003), 135-136

**D. Khiladze.**-
Semigroups $B_X(D)$ Determined by
Semilattices
of Classes $\Sigma_3(X,4)$ and $\Sigma_4(X,4)$,
**131**(2003), 137-138

**T. Kvirikashvili and A. Lashkhi.**-
Perspective Maps over Rings,
**131**(2003), 139-140

**A. Lashkhi and I. Zimmermann.**-
$S$-minimal
Non-nilpotent
Lie Algebras,
**131**(2003), 141-142

**Sh. Makharadze.**-
Maximal Subgroups of Some Classes
of Complete Semigroups of Binary Relations,
**131**(2003), 143-144

**Sh. Makharadze.**-
Regular Elements of the Semigroups $B_X(D)$
Determined by the Generalized Elementary $X$-Semilattices,
**131**(2003), 145-147

**A. Patchkoria.**-
Extensions of Semimodules and the Takahashi
Functor $\Ext_\L(C,A)$,
**131**(2003), 148-149

**D. Zangurashvili.**-
The Strong Amalgamation Property
and
Codescent Morphisms,
**131**(2003), 150

**V. Baladze.**-
Fiber Shape Theory,
**132**(2003), 1-70

**A. Dzhishkariani and A. Svanidze.**-
One Version
of Galerkin-Petrov's Method with Iterations,
**132**(2003), 71-87

**L. Ephremidze.**-
On the Ergodic Maximal Equality,
**132**(2003), 89-92

**N. Koblishvili, Z. Tabagari, and M. Zakradze.**-
Reduction
of the Dirighlet Generalized Boundary Value Problem to an
ordinary Problem for Harmonic Function,
**132**(2003), 93-106

**S. Kukudzhanov.**-
On the Influence of Meridional forces
on eigen
oscillations and Dynamical Stability of a Shell of Revolution
which is by its From Close to a Cylindrical One,
**132**(2003), 107-116

**N. J. Mushkudiani.**-
On the Stability of Normalized
Eigen-Element
of a Nonlinear Operator in the Hilbert Space,
**132**(2003), 117-125

**O. Purtukhia.**-
An Extension of the
Ocone-Haussmann-Clark
Formula for a Class of Normal Martingales,
**132**(2003), 127-136

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**O. Dzagnidze and G. Oniani.**-
On One Analogue of
Lebesgue
Theorem on The Differentiation of Indefinite Integral
for Functions of Several Variables,
**132**(2003), 139-140

**L. Ephremidze.**-
On a Relationship Between
the Integrabilities
of Various Ergodic Maximal Functions,
**132**(2003), 141-142

**G. Khuskivadze and V. Paatashvili.**-
Zaremba's
Problem
in One Class of Harmonic Functions,
**132**(2003), 143-147

**V. Kokilashvili.**- Two-Weighted Estimates for
Fourier Multipliers
in Lebesgue Spaces,
**132**(2003), 148-149

**G. Oniani.**-
On the Relation Between
Conditions of the
Differentiability and Existence of the Strong Gradient,
**132**(2003), 150-151

**T. Zerekidze.**-
On One Problem of the Theory of
Differentiation of Integrals,
**132**(2003), 152-154

**O. Dzagnidze and G. Oniani.**-
On one Analogue of
Lebesgue
Theorem on the Differentiation of Indefinite Integral for
Functions of Several Variables,
**133**(2003), 1-6

**Charaf Bensouda and Mohamed El Kadiri.**-
Approximation
Biharmoniques sur les Compacts,
**133**(2003), 7-20

**R. Gachechiladze.**-
Exterior Problems with Friction
in the
Couple-Stress Elasticity,
**133**(2003), 21-36

**D. Gubelidze.**-
On a Generalized Solution of the
Second Order
Degenerate Elliptic Equation in an Angular Domain,
**133**(2003), 37-62

**B. Midodashvili.**-
Boundary Value Problems for one
Class
of Hyperbolic Equations with Multiple Characteristics,
**133**(2003), 63-74

**G. Meladze and T. Toronjadze.**-
On the Innovation of
Continuous
Multidimensional Semimartingale. I. General Concepts,
**133**(2003), 75-88

**G. Meladze and T. Toronjadze.**-
On the Innovation of
Continuous
Multidimensional Semimartingale. II. The Bayesian Model,
**133**(2003), 89-108

**L. Rempulska and Z. Walczak.**-
On Modified Baskakov
Operators,
**133**(2003), 109-118

**T. Zerekidze.**-
Differentiation of Integrals by
Bases of Type $\Pi$,
**133**(2003), 119-130

**T. Zerekidze.**-
The Solution of One Problem of the
Theory of
Differentiation of Integrals,
**133**(2003), 131-156

REPORTS OF THE SEMINAR

ON FUNCTION THEORY

**N. Mushkudiani.**-
Some Problems of Stability of an
Eigen Element,
**133**(2003), 159-164

**Sh. T. Tetunashvili.**-
On one N. Bary's Conjecture,
**133**(2003), 164-165

**T. Zerekidze.**-
On the Equivalence and
Nonequivalence
of some Differential Bases,
**133**(2003), 166-170