SCIENTIFIC PROGRAM
Last updated Aug 20, 2001, at 19:50

SECTION 1

August 22.08, Wednesday

10:00-10:30

P. Sobolevsky (Israel). The theorem on mixed derivatives and the estimate of convergence rate of Galerkin's method for parabolic equation (the third initial boundary value problem).

10:35-11:05

H. Neidhardt(Germany), T. Ichinose (Japan), V. Zagrebnov (France). Operator norm convergence of Trotter-Kato product formula.

11:10-11:40

A. Plichko (Ukraine). Complemented subspaces in nonseparable Banach spaces

12:00-12:30

V. Mikhailov (Russia). On existence of boundary values of the solutions of elliptic equations on the boundary of a domain.

12:35-13:05

J. Kisynski (Poland). Distribution semigroups and one parameter semigroups.

15:00-15:30

Yu. Arlinsky (Ukraine). On non-negative selfadjoint extensions.

15:35-16:05

M. Gorbachuk (Ukraine). On completeness of the set of root vectors of a closed operator with meromorphic resolvent.

16:15-16:45

V. Gorbachuk (Ukraine). On weak solutions of operator differential equations.

16:50-17:20

A. Kochubei (Ukraine). Differential equations with Carlitz derivatives.

17:25-17:55

B. Ptashnik (Ukraine). Multipoint problem for partial differential equations.

18:00-18:30

M. Mukhamedov (Uzbekistan). Mutiparameter ()-semigroups of operators.

August 23.08, Thursday

10:00-10:30

G. Gubreev (Ukraine). Spectral theory of regular quasiexponentials.

10:35-11:05

F. Rofe-Beketov, A. Kholkin (Ukraine). Oscillation theory of differential-operator equations.

11:10-11:40

D. Arov, M. Nudelman (Ukraine). Criteria of similarity of all minimal dissipative realizations of a given operator of Shur and Caratheodory classes.

12:00-12:30

S. Kuzhel (Ukraine). On inverse problem in the Lax-Phillips scattering scheme

12:35-13:05

M. Malamud (Ukraine). Self-adjointness of Hamiltonian systems and elliptic operators.

15:00-15:30

Yu. Orochko (Russia) Points of degeneration of ordinary symmetric differential operator as penetrable or impenetrable interfaces.

15:35-16:05

T. Zelenyak (Russia). On differential properties of generalized solutions of some boundary problems.

River Cruise

August 24.08, Friday

10:00-10:30

A. Piven, A. Rutkas (Ukraine). Correctness of the Cauchy problem for degenerate equation of high order.

10:35-11:05

Ya. Grushka (Ukraine). Description of the intermediate spaces generated by a semigroup of operators, in terms of functional calculus for its generator

11:10-11:40

Yu. Mokrousov (Ukraine). On the density of certain subspaces of analytic vectors of a sectorial operator on a Banach space.

12:00-12:30

V. M. Gorbachuk (Ukraine). Evolutionary completeness criterion for the set of root vectors of a compact operator.

12:35-13:05

B. Peleshenko (Ukraine). Interpolation of quasilinear operators of weak type in the quasinormed spaces.

15:00-15:30

M. Jabbarzadeh (Iran). Some results on weighted composition operators on spaces.

15:35-16:05

D. Kalyuzhnyi-Verbovetsky (Ukraine). On realization of holomorphic operator functions of severa variables by means of -conservative scattering systems.

16:15-16:45

M. Gorodnii (Ukraine). On the -solutions of a difference equation with the unbounded operator.

16:50-17:20

A. Zagorodnyuk (Ukraine). Subspaces of analytic funvtions on Banach spaces.

17:25-17:55

S. Akhiev, K. Orucoglu (Turkey). Some linear operator equations and their fundamental solutions.

18:00-18:30

O. Lopushansky, S. Sharyn (Ukraine). Functional calculus in cone .

August 25.08, Saturday

10:00-10:30

N. Tita (Romania). Properties of some bilinear operators on approximation spaces.

10:35-11:05

I. Orlov (Ukraine). Projective indeces and dual scales of the spaces.

11:10-11:40

V. Lozynska (Ukraine). Functional calculus of generators of ()-groups in algebras of distributions of exponential type.

12:00-12:30

S. Saprikin (Ukraine). Optimal and -optimal linear dissipative systems with Pontryagin state space.

12:35-13:05

Ya. Vasylkiv (Ukraine). Asymptotic behaviour of subharmonic functions of completely regular growth and their conjugates.

15:00-15:30

M. Potapov (Russia). On application of generalized shift operators in approximation theory

15:3516:05

M. Dmytryshyn (Ukraine). Interpolation of spaces generated by exponential type vectors.

16:15-16:45

Z. Arova (Ukraine). On operator nodes with strongly regular -inner characteristic matrix functions.

16:50-17:20

K. Kudaibergenov, I. Ganiev (Uzbekistan). Measurable bundles of compact operators.

17:25-17:55

A. Kholkin (Ukraine). Fundamental solution of a operator-differential equation with singular boundary condition.

18:00-18:30

R. Turgunbayev (Uzbekistan) Triple norm systems over the field of -adic numbers

Augugst 26.08, Sunday

10:00-10:30

G. Poletaev (Ukraine). Monomial single-projector equations of the second order with factorable coefficients.

10:35-11:05

E. Tokarev (Ukraine). Structural theory of Banach spaces.

11:10-11:40

A. Baskakov, K. Chenyshev (Russia). Linear equation in a Banach space with a irreversible operator at the derivative

12:00-12:30

A. Tarasenko (Mexico). On operator-function with the derivative fron the class of Hardy.

12:35-13:00

S. Musabekov (Uzbekistan). On example of the spaces with ordinal unity.

15:00-15:30

R. Grabovska, H. V. Krapiva (Ukraine). Some not solvable under highest derivative singular operator-differential equations of -th order.

15:35-16:05

M. Volkova (Ukraine). Unconditional bases generates by Muchenhaupt weights and their applications.

16:15-16:45

S. Hassi (Finland). A model for -functions.

16:50-17:20

E. I. Olefir (Ukraine). Unconditional bases of family of vactor exponentials.

17:25-17:55

L. Gevorgyan (Armenia). The full spectral theory of class of operators.

18:00-18:30

L. Vlasenko (Ukraine). On properties of solutions to degenerate neutral functional differential equations in Banach spaces.

SECTION 2

August 22.08, Wednesday

10:00-10:30

Z. Sheftel (Germany). Problems with a shift for elliptic equations and systems.

10:35-11:05

J. Brasche (Sweden). On scattering and spectral theory for Schrödinger operators with potentials supported by sets with capacity zero.

11:10-11:40

H. de Snoo (Nederland). Spectral functions of Sturm-Liouville operators.

12:00-12:30

I. Kalynyak (Ukraine). Isospectral operators generated by non-local elliptic problems

12:35-13:05

R. Hryniv (Ukraine). Shrödinger operators with singular potentials.

15:00-15:30

V. Marchenko (Ukraine). General solution of Korteveg-de-Vries equation.

15:35-16:05

L. Niznik (Ukraine). Inverse scattering problem for hyperbolic equations and its applications.

16:15-16:45

V. Mikhailets (Ukraine). Self-adjointness problem for one-dimensional Shrödinger operator with singular potential.

16:50-17:20

V. Derkach (Ukraine). On indefinite generalized interpolation.

17:25-17:55

V. Belonosov (Russia). Estimations of solutions of general boundary problems for quasi-elliptic equations.

18:00-18:30

E. Buryachenko (Ukraine). The characteristic billiard for the fourth order differential equations and solution uniqueness of some boundary value problem.

August 23.08, Thursday

10:00-10:30

Yu. Berezansky (Ukraine). Spectral representations of positive definite kernels.

10:35-11:05

M. Matiychuk (Ukraine). Boundary value problems for a class of degenerate parabolic operators

11:10-11:40

E. Khruslov (Ukraine). Homogenized non-Newtonian viscoellastic rheology of suspention of interacting particles in a viscous Newtonian fluid.

12:00-12:30

N. Kopachevsky (Ukraine), Yu. Pashkova (Ukraine), R. Mennicken (Germany). Complete second order linear differential equations in Hilbert space and its hydrodynamical applications.

12:35-13:05

R. Mennicken (Germany). Spectral Problems for 2x2-Operator Matrices and Applications.

15:00-15:30

Yu. Karlovich (Mexico). Pseudodifferential operators with slowly oscillation data and their applications.

15:35-16:05

T. Cheremnikh (Ukraine). Fridrichs' moel and Titchmarsh-Weyl's function.

River Cruise

August 24.08, Friday

10:00-10:30

F. Rofe-Beketov (Ukraine). Perturbations of the spectrum of almost periodic one-dimensional Srödinger operator.

10:35-11:05

I. Egorova (Ukraine). Spectral analysis for asymptotically periodic Jacobi matrix.

11:10-11:40

Yu. Tverdokhleb (Ukraine). On almost periodic difference operators.

12:00-12:30

M. Bayramoglu (Turkey), H. Sahinturk (Turkey). Regularized trace formula for the Sturm-Liouville equation with operator coefficient contained spectral parameter in the boundary condition.

12:35-13:05

A. Orujov (Turkey). On a spectrum of a class of second order differential operators family with almost periodic coefficients.

15:00-15:30

N. Iskenderov (Azerbaijan). Scattering data for a hyperbolic system of first-order differential equations on semi-axis.

15:35-16:05

V. Tarasov (Ukraine). Multidimentoinal inverse scattering problems for the integro-differential equations.

16:15-16:45

O. Tarasova (Ukraine). The inverse scattering problem for the wave equations.

16:50-17:20

A. Ibragimov (Uzbekistan). Inverse problem for Dirac operator with periodic potential on semi-axis.

17:25-17:55

A. Nematov (Uzbekistan). Inverse problem of scattering theory for Sturm-Liouville operator in a class of potentials, which have different finite-gap behaviours if

18:00-18:30

K. Orucoglu (Turkey), S. Akhiev (Azerbaijan). The fundamental solution of a hyperbolic equation with a singular parameter.

August 25.08, Saturday

10:00-10:30

V. Los (Ukraine). Elliptic Sobolev problem for systems of the Douglas-Nirenberg structure.

10:35-11:05

A. Zavorotinskyi (Ukraine). Parameter-Elliptic Problems of Transmission in Complete Scales of Spaces of Distributions of Sobolev Type.

11:10-11:40

O. Komarenko (Ukraine). Spectral sheory for transmission problems.

12:00-12:30

I. Nizhnik (Ukraine). Bounded stationary solutions of a fourth order nonlinear parabolic equation.

12:35-13:05

M. Denche (Algeria). Abstract Elliptic Differential Equation with a Spectral Parameter in the Boundary Conditions.

15:00-15:30

V. Tyurin (Russia). On the spectrums of some class of linear differential operator in Hölder spaces.

15:35-16:05

I. Popov (Russia). Spectral asymptotics for waveguides and layers coupled through small apertures.

16:15-16:45

Ya. Baranetskyi, P. Kalenyuk (Ukraine). Isospectral operators generated by nonlocal elliptic problems.

16:50-17:20

V. Erovenko (Belarus). On the essential spectrum of Banach-space operator.

17:25-17:55

M. Dzhenaliev, M. Ramazanov (Uzbekistan). About solvability of the Cauchy problem for loaded nonlinear differential operator equation.

Augugst 26.08, Sunday

10:00-10:30

A. Karlovich (Portugal). Invertibility of Functional Operators with Slowly Oscillating nn-Carleman Shifts.

10:35-11:05

A. Rutkas (Ukraine), T. Yatsenko (Ukraine). Certain type solution of initial boundary value problem for viscous-elactic fluid.

11:10-11:40

S. Dashkovski (Germany). Optimal regularity for the solutions of a semi-linear hypoelliptic equations.

12:00-12:30

Yu. Golovaty (Ukraine). On low and high frequency vibrations in stiff eigenvalue problems.

12:35-13:05

M. M. Dzhenalieva (Kazakhstan). About Boundary Value Problems for Parabolic Equations with Mean-Values.

15:00-15:30

M. Bricchi (Germany). Besov spaces on fractals.

15:35-16:05

A. Brusentsev (Russia). About self-ajointness in essential of Schrödinger non semi-bounded operator with strongly singular potential.

16:15-16:45

V. Il'ina (Ukraine). On semilinear boundary value problems on graphs.

16:50-17:20

O. Chernobai (Ukraine). On integral representation of positive definite Toepitz kernels.

17:25-17:55

O. Myl'o, O. Storozh (Ukraine). On semi-smooth perturbations of a Sturm-Liouville type operatoron the semi-axis

18:00-18:30

Y. Saidov (Uzbekistan). Integral representation of harmonic functions

SECTION 3

August 22.08, Wednesday

10:00-10:30

R. Grigorchuk (Russia) Self-similarity and spectral problem in theory of discrete Laplace operator

10:35-11:05

V. Sushchansky (Ukraine) Diagonal limit of symmetric groups and their representations

11:10-11:40

V. Nekrashevich (Ukraine) Cuntz-Pimsner algebras associated to group actions

12:00-12:30

N. Tretyakova (Belarus) Passages to limit in the group representation theory

12:35-13:00

V. Zolotarev (Ukraine) The functional model of a bounded operator

15:00-15:30

Yu. Samoilenko (Ukraine) On families of projections and idempotents

15:35-16:05

P. Dudnikov (Ukraine) The spectral theory of idempotent operators

16:15-16:45

N. Vasilevsky (Mexico) On the structure of Toeplitz operator algebras

16:50-17:20

V. Ostrovskyi (Ukraine) On centered one-parameter semigroups and representations of double commutator

17:25-17:55

A. Kalyuzhnyi (Ukraine) Conditional expectations on quantum groups and new examples of quantum hypergroups

August 23.08, Thursday

10:00-10:30

A. Klimyk (Ukraine) Classification of finite dimensional irreducible representations of the -algebra

10:35-11:05

N. Iorgov (Ukraine) Tensor operators and Wigner-Eckart theorem for quantum algebra

11:10-11:40

L. Turowska (Sweden) On the complexity of description of -algebras representations by unbounded operators

12:00-12:30

A. Kirillov (USA) Quantum eigenvlues, quantum multiplicities and quantum Caley identity

12:35-13:05

W. Connett (USA) The geometry of the support of the orthogonality measure for certain families of polynomials in two real variables

15:00-15:30

R. Hudson (Great Britain) On near representations of the canonical commutation relations

15:35-16:05

V. Belavkin (Great Britain) Quantum probability: Representations of Ito algebras and classification of non-classical differential calculi

River Cruise

August 24.08, Friday

10:00-10:30

V. Golodets (Ukraine) The spectral properties of completely positive entropy actions of countable amenable groups

10:35-11:05

S. Gefter (Ukraine) On formal power series in Banach algebras

11:10-11:40

B. Rubshtein (Israel) M. Muratov, Yu. Pashkova (Ukraine) Some properties of positive contractions in symmetric spaces.

12:00-12:30

A. Kosyak (Ukraine), R. Zekri (France) Regular representations of infinite-dimensional group and factors

12:35-13:05

N. Nessonov (Ukraine) Classification of KMS-states on

15:00-15:30

Zakirov (Uzbekistan) Lorentz spaces associated with a measure with values in a ring of measurable functions

15:35-16:05

F. Mukhamedov (Uzbekistan) On individual Dunford-Schwartz theorem on von Neumann algebras

16:15-16:45

Sh. Ayupov (Uzbekistan) Description of real von Neumann algebras with abelian skew-Hermitian part.

16:50-17:20

Sh. Ayupov, A. Rakhimov, A. Abduvaitov (Uzbekistan) Real -algebras with abelian Hermitian part.

17:25-17:55

I. Ganiev, V. Chilin (Uzbekistan) Measurable bundles of noncommutative -spaces.

August 25.08, Saturday

10:00-10:30

Yu. Karlovich (Mexico) Convolution type operators with oscillating symbols

10:35-11:05

V. Kisil (Great Britain) Spectrum of operator: invading in the third dimension

11:10-11:40

N. Vasilevsky (Mexico) Commutative algebras of Toeplitz operators and hyperbolic geometry

12:00-12:30

V. Strauss (Venezuela) On differential operators with a singular potential

12:35-13:05

S. Khoroshkin (Germany) Integral presentation of the Universal -matrices

15:00-15:30

V. Lozynska (Ukraine) On a convolution algebra of analytic functionals of exponential type

15:35-16:05

G. Poletaev (Ukraine) Pair equations with correct factorizable coefficients in rings with factorization pairs

16:15-16:45

O. Karabyn (Ukraine) On spectrum of hyperfinite dimension operator

16:50-17:20

A. Sukhotin (Russia) About alone false premise

Augugst 26.08, Sunday To be announced

SECTION 4

August 22.08, Wednesday

10:00-10:30

C. Cattani (Italy) Spline wavelet approximation of differential operators

10:35-11:05

V. Zagrebnov (France) Ultimate optimal error bound for a self-adjoint Trotter product formula

11:10-11:40

A. Chebotarev (Russia) What is quantum stochastic differential equation from the point of view of functional analysis?

12:00-12:30

Yu. Kondratiev (Ukraine/Geramny) New analytic methods in mathematical physics of continuous systems

12:35-13:05

A. Rebenko (Ukraine) Cluster Expansions on The Configuration Space

15:00-15:30

V. Koshmanenko (Ukraine) On negative eigenvalues under singular perturbations

15:35-16:05

L. Pastur (Ukraine) Absolutely continuous spectrum and scattering in the surface Maryland model

16:15-16:45

O. Storozh, O. Shuvar (Ukraine) On some spectral properties of differential-boundary operators in vector-function spaces

16:50-17:20

V. Bursky, T. Shtepina (Ukraine) Onn the spectrum of operator of equivariant boundary problem for the Poisson equation in a ball

17:25-17:55

A. Rutkas (Ukraine) Spectral methods of investiagation of degenerated equations

August 23.08, Thursday

10:00-10:30

J. Bruening (Germany), V. Geyler (Russia) Geometric scattering on Riemannian manifolds

10:35-11:05

A. Daletsky (Great Britain) On stochastic cohomology of Poisson configuration spaces

11:10-11:40

P. Kurasov (Sweden) Method of supersingular perturbations for few-body Schrödinger operators

12:00-12:30

M. Feller (Ukraine) Non-linear parabolic equations with the Levy Laplacian

12:35-13:05

V. Vigak, A. Rychagivskyi (Ukraine). Necessary conditions for correctness of solutions of two-dimensional and three-dimensional elasticity problems

15:00-15:30

Yu. Mishura (Ukraine) Atomic decompositions and inequalities of Burkholder-Davis-Gundy type for vector-valued martingales

15:35-16:05

O.Lopushansky, A. Zagorodnyuk (Ukraine) Spectral theorem for Hardy type space of analytic functions on the Hilbert ball

River Cruise

August 24.08, Friday

10:00-10:30

E. Lytvynov (Germany) Scaling limit of stochastic dynamics in classical continuous systems

10:35-11:05

M. Oliveira (Germany) Poissonian white noise analysis and harmonic analysis on configuration spaces

11:10-11:40

T. Pasurek (Germany) Euclidean Gibbs states of quantum crystals

12:00-12:30

D. Finkelshtein (Ukraine) Gauss-Ostrogradsky formula on configuration spaces

12:35-13:05

D. Mierzejewski (Ukraine) The structure of the extended Fock space and its application to some constructions of gamma analysis

15:00-15:30

D. Ivanovic, V. Saljnikov, U. Karadic (Yugoslavia) On equation of MHD unsteady boundary layer on porous contour in parametric approximation

15:35-16:05

A. Pankov (Ukraine) On nonlinear Schroedinger equations with a steep potential well

16:15-16:45

I.-P. Syroid (Ukraine) Solving problematic problems for non self-adjoint operators

16:50-17:20

I.-P. Syroid, O. Myaus (Ukraine) Schroedinger-analysis problems over soliton manifolds

17:25-17:55

V. Revenko (Ukraine). Explicit solution of the Gelfand-Levitan-Marchenko equation and certain integral relations

August 25.08, Saturday

10:00-10:30

T. Azizov (Russia) On the boundedness of Hamiltonians

10:35-11:05

Z. Dudek (Poland) Isotonic Banach functionals and risk evaluation

11:10-11:40

N. Dudkin (Ukraine) Singularly perturbed normal opeartors

12:00-12:30

S. Pehlivan (Turkey) On weak statistical convergence

12:35-13:05

V. Romanov (Ukraine) Cauchy problem for vector measures with different types of continuity of initial condition

15:00-15:30

M. Amangalieva (Kazakhstan) About boundary value problems for parabolic equations with mean-values

15:35-16:05

V. Gordevsky (Ukraine) Approximate bimodal solutions of the Boltzmann equation

16:15-16:45

A. Khasanov, G. Urazbaev (Uzbekistan) Integration method of the Korteweg-de Vries equation with a self-consistent source from steplike initual data, by inverse scattering method

16:50-17:20

V. Khatskevitch (Russia) Attractor of the problem of nonlinear-viscous fluid motion

17:25-17:55

A. Skubachevskii, R. Shamin (Russia) Parabolic differential-difference equations

Augugst 26.08, Sunday

10:00-10:30

A. Konstantinov (Ukraine) On the Friedrichs extension of block operator matrices

10:35-11:05

O. Kutovyi (Ukraine) On the essential spectrum of block operator matrices

11:10-11:40

Yu. Grinyk (Ukraine) On the essential spectrum of a boundary value problem

12:00-12:30

A. Kalitvin (Russia) Romanovskij type equations with partial integrals

12:35-13:05

E. Frolova, A. Kalitvin (Russia) Volterra integral equations with partial integrals on the unbounded domain

15:00-15:30

I. Nurov (Tajikistan) The method of impulse-frequency characteristics in the construction bifurcation solution of nonlinear systems

15:35-16:05

M. Yahshinboev (Uzbekistan) Asymptotic solution of multidimensional integral equation of first genus

16:15-16:45

M. Glaskova (Russia) A criteria of the closedness of a linear pencil

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