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INVERSE 

NONLINEAR

PROBLEMS

EQUATIONS

  AND 

     An International Conference on the occasion of Prof. V.A.Marchenko 80th Anniversary

Kharkiv, August 12-16, 2002

   

 ADVANCE PROGRAM

                MONDAY        August 12
                TUESDAY  August 13
                WEDNESDAY August 14
                THURSDAY August 15
                FRIDAY August 16
 

 

Monday August 12

Opening session

15.00 -15.30: Opening ceremony.

 

Chairman: E.Ya.Khruslov

15.30-

16.10

BEREZANSKY Yu.(Ukraine) The integration of some classes of nonlinear equations of Toda type on semiaxis
16.15-

16.55

ZAKHAROV V. (Russia) New Application of the Inverse Scattering Method to Differential Geometry
17.00-

17.40

PASTUR L. (Ukraine,France) Universalities in the Random Matrix Theory

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Tuesday August 13

Plenary talks

 

Chairman: E.Kuznetsov

9.00-

9.40

MARCHENKO V. (Ukraine) Операторы обобщенного сдвига, операторы преобразования и обратные задачи
9.45-

10.25

PARKER A. (UK) On the Camassa-Holm equation and a direct method of solution: some partial results
10.25-

11.00

Coffee break  

Chairman: V.Zakharov

11.00-

11.40

MIKHAILOV A. (Russia) Perturbative Symmetry Approach
11.45-

12.25

DRYUMA V. (Moldova) The Riemannian geometry in theory of second order ODE’s and their applications

 

 

Session A

13.08.01

 

Chairman: Yu.Berezansky

14.30-14.50 BOUTET de MONVEL A. (France) and KOTLYAROV V. (Ukraine) Generation of Asymptotic Solitons by Boundary Data
14.50-

15.10

GLEBOV S. and KISELEV O.

(Russia)

Separatrix crossing near a saddle-center bifurcation point
15.10-

15.30

LAHNO V. (Ukraine) Group Classification of Nonlinear Evolution Equations
15.30-

15.50

MALYSHEV I. (USA)

 

On inverse problem for some type of integro-differential equation
15.50-

16.10

BELOKOLOS E.D. (Ukraine) Many-dimensional completely integrable quantum models

 

  Coffee break  

Chairman: V.Novokshenov

16.40

-

17.00

BOUTET de MONVEL A., FOKAS A. and SHEPELSKY D. Initial boundary value problem for the mKdV equation on the half-line
17.00

-

17.20

SIDORENKO Yu. (Ukraine) Matrix Factorization of Differential Operators and Related Integrable Systems
17.20

-

17.40

BIHUN O. and PRYTULA M. (Ukraine) A method of Lie-algebraic approximations of Cauchy problems
17.40

-18.00

PIVOVARCHIK V. (Ukraine) The Ambarzumian theorem for the Sturm-Liouville equation on a star-shaped graph

 

 

Session B

13.08.01

 

Chairman: L.Pastur

14.30-

14.50

MYSHKIS I.D.

(Russia)

Oscillations of the chain of masses which are sequentially elastically attached among themselves
14.50-

15.10

PRYKARPATSKY A.(Ukraine)

BLACKMORE D.(UK)

Quantum Computer Algorithms: Group Holonomic Approach
15.10-

15.30

DYMARSKII Ya.

(Ukraine)

On quasi-linear representations of nonlinear operators
15.30-

15.50

GORKAVY V. and MILKA.A. (Ukraine) Geometric model of catastrophe
15.50-

16.10

VASILCHUK V. (Ukraine) On the Asymptotic Distribution of the Commutator and Anticommutator of Random Matrices
16.10-

16.40

Coffee break  

Chairman: A.Myshkis

16.40- 17.00 CHUDINOVICH I.

(Ukraine) and CONSTANDA C. (USA)

On potential theory in dynamic problems for thin elastic plates with transverse shear deformation
17.00 – 17.20 GORDEVSKYY V. (Ukraine) Vertical flows in a gas of hard spheres
17.20- 17.40 MIKHAILETS V. (Ukraine) Distribution of eigenvalues for a positive elliptic operator
17.40- 18.00 STEPHAN Holger (Germany) Time Asymptotics and invers problems for Fokker-Planck- Equations

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Wednesday August 14

Plenary talks

 

 

Chairman: V.Kotlyarov

     
9.45-

10.25

KUZNETSOV E.(Russia) Towards a sufficient criterion for collapse in $3D$ Euler equations
10.25-

11.00

YURKO V. (Russia) An inverse problem for the Kamke-type differential operators
  Coffee break  

Chairman: A.Borisov

11.00-

11.40

NOVOKSHENOV V. (Russia) Whitham deformations of integrable systems and multi-phase autoresonances
11.45-

12.25

ANDERS I., KHRUSLOV E. and KOTLYAROV V. (Ukraine) Splitting of non-localized solutions of KP equation into the asymptotic solitons

 

 

 

Session A

14.08.01

 

Chairman: V.Katsnelson

14.30-

14.50

KONTOROVICH V. (Ukraine) Analog of Backlund transformations for Kompaneets equation
14.50-15.10 MALAMUD M. and KARABASH I. (Ukraine) J-selfadjoint Sturm-Liouville operators with almost periodic potentials
15.10-15.30 SAKHNOVICH A. (Ukraine) Generalized Backlund-Darboux transformation, 1 and 2 spatial variables
15.30-15.50 BOGDAN M. (Ukraine) Exact discrete multibreather solutions of nonlinear lattice equations
15.50-16.10 GERASIMCHUK I., KOVALEV A. and G.MAUGIN Nonlinear dynamics of non-commensurate surface structures
  Coffee break  

Chairman: V.Yurko

16.25-16.45 NABIEV I. (Azerbaidjan) Восстановление квадратичного пучка операторов Штурма-Лиувилля на отрезке
16.45

17.05

HRYNIV R. (Ukraine) Inverse spectral problem for Sturm-Liouville operators with singular Potentials
17.05

17.25

MAMMEDOV Khanlar (Azerbaidjan) On the uniquely of Inverse Problem of Scattering Theory for Strum-Liouville Operator with a Spectral Parameter in the Boundary Conditions
17.25-

18.00

Poster Session  

 

 

Session B

14.08.01

 

Chairman: I.Ostrovskii

14.30-

14.50

AZARIN V.

(Israel)

A generalization of completely regular growth.
14.50-

15.10

RVACHEV

(Ukraine)

Approximation in spaces of infinitely differentiable functions and the generalized Taylor series
15.10-

15.30

DYUKAREV

(Ukraine)

Канонические и N-экстремальные решения интерполяционных задач в классе Стилтьеса
15.30-15.50 LOGVINENKO V. (USA) On density of polynomials in weighted spaces of functions of several variables
15.50-16.10 CHEREMNIKH E.V. (Ukraine) On some application of Friedrichs' model to inverse problem of Sturm-Liouville's operator
  Coffee break  

Chairman: V.Logvinenko

16.25

-16.45

AMINOV Yu.

(Ukraine)

On isometric immersions of Lobachevsky spaces into Euclidean spaces and correspondent non linear equations
16.45

-

17.05

ZOLOTAREV V.

(Ukraine)

Дилатации коммутирующих систем линейных операторов
17.05-17.25 SKLYAR G. (Ukraine, Poland), IGNATOVICH S. and BARKHAEV P.(Ukraine) Развитие метода моментов в нелинейной задаче быстродействия
17.25-18.00 Poster Session  

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Thursday August 15

Plenary talks

 

Chairman: A.Mikhailov

9.00-

9.40

OSTROVSKII I. (Ukraine, Turkey) Non-oscillating Paley-Wiener functions
9.45-

10.25

BORISOV A. (Russia) Geometrical representation of solutions some nonlinear equations
10.25

-

11.00

Coffee break  

Chairman: V.Dryuma

11.00-

11.40

GURARII V. (Australlia), KATSNELSON V., MATSAEV V. and STEINER J. (Israel) The Stokes Structure in Asymptotic Analysis
11.45-

12.25

FAMINSKII A. (Russia) Nonlocal well--posedness of initial boundary value problems for the Generalized KdV equation

 

 

Session A

15.08.01

 

Chairman: F.Rofe-Beketov

14.30-14.50 NIZHNIK L. and TARASOV V. (Ukraine) Inverse scattering problems for hyperbolic equations and their applications in soliton theory
14.50-

15.10

BAZARGAN J. and EGOROVA I. (Ukraine) Scattering problem for "step-like" asymptotically periodic Jacobi operator
15.10-15.30 KHANMAMEDOV A.

(Azerbaidjan)

Inverse scattering Problem for the difference equations with divergent potentials and its applications
15.30-

15.50

BRUSENTSEV A. (Russia) О замыкании множества финитных функций в метрике обобщенного интеграла Дирихле
15.50-16.10 MAGDA Olena (Ukraine) Group Classification of One Class of Quasi-linear Hyperbolic-type Differential Equations
  Coffee break  

Chairman: A.Brusentsev

16.40-

17.00

REVENKO V.

(Ukraine)

Determination of exact solution to the integral equation Gelfand-Levitan-Marchenko for the Sturm-Liouville operators with the stepwise potentials
17.00-

17.20

VUS A.

(Ukraine)

Integrable many-body problems on the line with different types of interaction
17.20-

17.40

DAVYDOV R. (Ukraine)

 

Медленно убывающие решения уравнения КдФ
17.40-18.00 SYROID I.-P.P.

(Ukraine)

Functional and parametric aspects of Inverse Scattering Transform

 

 

Session B

15.08.01

 

Chairman: V.Kontorovich

14.30-

14.50

GANDEL Yu. (Ukraine) Параметрические представления сингулярных интегральных операторов Гильберта в задачах дифракции на решетках
14.50-

15.10

NOSICH A. and Zinenko T. (Ukraine) Wawe scattering and absorption by imperfect strip gratings
15.10-

15.30

KATS A.

(Ukraine)

Analytical approach to the resonance diffraction problems
15.30-

15.50

LYTVYNENKO L. and PROSVIRNIN S. (Ukraine) Electromagnetic Wave Scattering by Semi-Infinite Structures
15.50-16.10 PRITULA G. and VEKSLERCHIK V.

(Ukraine)

Negative Volterra Flows
  Coffee break  

Chairman: L.Pankratov

16.40-

17.00

STESHENKO

(Ukraine)

Рассеяние волн на прямоугольных неоднородностях в волноводах
17.00-

17.20

FARDIGOLA L. (Ukraine) The Markov power moment problem in the problem of partial approximate null-controllability for the wave equation
17.20-

17.40

PATSEGON N. and

POPOVA L.

(Ukraine)

Качественное исследование процессов структурирования магнитной жидкости
17.40-18.00 KOROBOV V. and SMORTSOVA (Ukraine) Решение некоторых задач теории управления с помощью одной задачи для систем дифференциальных уравнений в частных производных

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Friday August 16

Plenary talks

 

Chairman: E.Belokolos

9.00-

9.40

KATSNELSON V. and

VOLOK D. (Israel)

Isoprincipal deformation of rational matrix-functions and rational solutions of the Schlesinger system
9.45-

10.25

ZHIDKOV P. (Russia) Basis properties of eigenfunctions of nonlinear Sturm-Liouville-type problems
10.25-

11.00

Coffee break  

 

 

Session A

16.08.01

 

Chairman: Yu.Gandel

11.00-

11.30

BONDARENKO E. and F.ROFE-BEKETOV (Ukraine) The inverse scattering problem with triangular matrix potential
11.30-

11.50

GORBUNOV O.B. (Russia) About inverse problem for Dirac operators with non integrable singularities inside the interval
11.50-12.10 KHOLKIN A.M. (Ukraine) Самосопряженные расширения дифференциальных операторов произвольного порядка с операторными коэффициентами на бесконечном интервале
12.10-

12.30

KHRABUSTOVSKY V. (Ukraine) Обратная операторная задача Штурма-Лиувилля на оси
12.40 Closing session  

 

 

Session B

16.08.01

 

Chairman: V.Zolotarev

11.00-

11.30

KHRUSLOV E.Ya. (Ukraine) Homogenized models of complex fluids
11.30-

11.50

KRAYNYUKOVA N (Ukraine) Effective electrical conductivity of layered composite material
11.50-12.10 PANKRATOV L. and RYBALKO V. (Ukraine) Asymptotic analysis of a double porosity model with thin fissures
12.10-12.30 ZAGORODNYUK S. Ukraine On generalized Jacobi matrices and orthogonal polynomials
12.40 Closing session  

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POSTER SESSION

1. BOGDAN M.(Ukraine) and MAUGIN G.(France)

Integrals of motion and adiabatic invariant for exact discrete breather solution of the Hirota lattice equation

 

2. OKSYUK G. (Ukraine)

High-Frequency Absorption by a Soliton Gas in One-Dimensional Magnet

 

3. TOKAREV E. (Ukraine)

On inverse problems of Banach space theory: how to reconstruct Banach spaces by their given properties

 

4. GONCHARENKO M. (Ukraine)

Homogenization of one elasticity problem

 

5. GURIN Alexis (Ukraine)

Two properties of coarse-grained noncompletable packings of equal spheres

 

6.ILJINSKAYA I. (Ukraine)

Phase retrieval for probability measures on the group of characters of Cantor-Walsh group

 

7. KOLODYAZHNY (Ukraine)

Численное решение задачи Стефана и управление движением границы фазового перехода

 

8.CHUESHOV C. (Ukraine)

Uniform asymptotics of the rear part of nonlocalized solutions to KP-I equation

 

9.RADYAKIN N. (Ukraine)

Homogenization of the equations of a particle set motion in a viscous liquid

 

10. REKALO A. (Ukraine)

Global attractor of reaction-diffusion equation on thin twolayer domains.

 

11. RYBALKO A. (Ukraine)

Asymptotic behaviour of harmonic 1-forms on riemannian surfaces of increasing genus

 

12. EGOROV M. (Ukraine)

Моделирование эффекта решётки Ван-Атта

 

13. PRITULA G. and VEKSLERCHIK V. (Ukraine)

New Representation Of Conservation Laws for the Nonlinear Schrodinger Equation.

 

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