4th International Conference
“Analytical Methods of Analysis and Differential Equations”
(AMADE-2006), Minsk, Belarus, September 13-19, 2006
The Belarusian State University and the Institute of
Mathematics of the Belarusian National Academy of Sciences together
with Moscow State University organized the fourth International
Conference "Analytic Methods of Analysis and Differential Equations"
September, 2006, in Minsk, Belarus. The Conference was dedicated to
centenary of academician Fedor Dmitrievich Gakhov (1906-1980). It
kept the tradition of previous conferences "Boundary Value Problems,
Fractional Calculus and Special Functions" (1996) and "Analytic
Methods of Analysis and Differential Equations" (1999, 2001, 2003), held in Minsk,
The Conference was organized under the guidance of the
International Society for Analysis,
its Applications, and Computation (ISAAC) and was included in the
calendar of the events of the European Mathematical
Information on the Conference was published in the
Journal “Fractional Calculus and Applied Analysis” and in the
bulletin “Orthogonal Polynomial and Special Functions” of SIAM
Activity Group on Orthogonal Polynomial and Special Functions.
396 mathematicians from Europe, Africa, America and
Asia confirmed their interest in the Conference. 244 representatives
of Algeria, Armenia, Belarus, Canada, France, Germany, Great
Britain, Israel, Italy, Japan, Kazakhstan, Lithuania, Mexico,
Poland, Portugal, Russia, Serbia, Slovenia, Ukraine and USA took
part in AMADE-2006.
The main aspects presented at the conference were:
1. Boundary Value Problems for Analytic Functions.
2. Differential Equations and Applications.
3. Integral Transforms and Special Functions.
4. Integral and Integro-Differential Equations and
5. Approximations and Operator Theory.
6. Applications to problems of mathematical physics and
The conference was opened by the co-chairman of
AMADE-2006, rector of Belarusian State University Professor V. I.
Strazev. The plenary session was opened with a report on the life
and scientific activity of academician F. D. Gakhov:
(Minsk, Belarus): Fedor Dmitrievich Gakhov (the centenary of
There were 28 plenary invited lectures and 171
sectional talks devoted to different problems of classical and
modern analysis, differential equations and their applications.
Plenary invited lectures were given by the following
Aksentiev L.A., Elizarov M.A. (Kazan, Russia) The role
of F.D. Gakhov in the creation of the theory of inverse boundary
Alekhno A.G. (Minsk, Belarus) Homogeneous Riemann
boundary value problem with real coefficients having infinite set of
Begehr H. (Berlin, Germany) Polyharmonic functions and
Burenkov V.I. (Cardiff, UK) General theorems on
spectral stability of nonnegative self-adjoint operators.
Butzer P.L., Stens R.L. (Aachen, Germany) Prediction
in terms of samples from the past: error estimates by a modulus
covering discontinuous signals.
Glaeske H.-J. (Jena, Germany) On convolutions and
Izobov N.A., Mazanik S.A. (Minsk, Belarus) On
asymptotic equivalence of linear differential systems under
Karlovich Yu.I. (Cuernavaca, Mexico)
Pseudo-differential operators with nonregular symbols and their
applications to the Riemann and Haseman boundary value problems.
Kilbas A.A. (Minsk, Belarus) Method of integral
transforms in the theory of fractional differential equations.
Korzyuk V.I., Cheb E.S. (Minsk, Belarus) Generalized
classical solution of boundary value problems for a hyperbolic
equation of second order.
Lanza de Christoforis M. (Padova, Italy) Comparison of
the eigenvalues of closed non-negative self-adjoint operators.
Laurincikas A. (Vilnius, Lithuania) The joint
universality of periodic Hurwitz zeta-functions.
Mityushev V.V. (Krakov, Poland) Solution to the
Riemann boundary value problem with piecewise constant matrix.
Nasyrov S.R. (Kazan, Russia) Development of F.D.
Gakhov’s ideas in the topological theory of functions of the complex
Obnosov Yu.V. (Kazan, Russia) Some generalizations of
Panov E.Yu. (Novgorod, Russia) Existence of strong
traces for quasi-solutions of scalar conservative laws.
Prilepko A.I. (Moscow, Russia) Prediction-observation
and non-local problems for evolution systems with distributed
Radkevich E.V., Palin V.V. (Moscow, Russia) On a
behavior of solutions to systems of hyperbolic equations with
relaxation on large instants.
Rogosin S.V. (Minsk, Belarus) Complex-analytic methods
in applied sciences.
Rutkauskas S. (Vilnius, Lithuania) On the Dirichlet
type problems to systems of degenerate elliptic equations.
Samko S.G. (Faro, Portugal) Classical operators of
analysis - maximal, singular and potential - operators in variable
Silvestrov V.V. (Moscow, Russia), Antipov Yu.A.
(Louisiana, USA) Method of Riemann surfaces in fluid and solid
Soldatov A.P. (Belgorod, Russia) On singular integral
operators with a shift.
Sheshko M.A. (Lublin, Poland) On solution in closed
form of a class of singular integral equations of the first kind
with Cauchy kernel.
Shkalikov A.A. (Moscow, Russia) Spectral portraits of
non self-adjoint Shturm-Liouville operators in the quasi-classical
Vu Kim Tuan (Carrlolton, USA) Uncertainty principles
for the Hankel transforms.
Wegert E., von Wolfersdorf L. (Freiberg, Germany) A
solution method for the linear Chandrasekhar equation.
Yurchuk N.I. (Minsk, Belarus) A priori estimates and a
continuous dependence of solutions of evolution equations on the
changes of the boundary conditions.
During the conference a special session “Qualitative
Theory of Partial Differential Equations” was organized by Profs M.
Raisig (Germany), F. Hirosava (Japan) and E. V. Radkevich
The proceedings of AMADE-2006 involving most of the
section talks, were published in three volumes “Analytical Methods
of Analysis and Differential Equations”, Vol. 1-3, Minsk, Institute
of Mathematics, National Academy of Sciences of Belarus, 2006. The
papers devoted to integral transforms and special functions will be
included in a special issue of the Journal “Integral Transforms and
The present volume contains some of the plenary
lectures and section talks. The following aspects of the complex and
functional analysis are included: boundary value problem for
analytic and generalized analytic functions, integral operators and
harmonic analysis. This volume includes such fields of ordinary and
partial differential equations as difference matrix equations and
systems, differential equations with fractional derivatives, hyperbolic, parabolic and
operator-differential equations, differential equations on graphs.
Applications to mechanics of composite materials and fluid mechanics
At the final meeting the participants supported the
suggestion to organize next AMADE-Conference in 2009.
The Organizing Committee is grateful to the Belarusian
State University and the Belarusian Fundamental Research Fund and
some other sponsors for their financial