3rd International Conference “Analytical Methods of Analysis and
Differential Equations” (AMADE2003), Minsk, Belarus, September
49, 2003
The 3rd International Conference “Analytic Methods of Analysis
and Differential Equations” (AMADE2003) took place on September
49, 2003 in Minsk, Belarus. It keeps the tradition of the International
Conferences “Boundary Value Problems, Special Functions and Fractional
Calculus”, devoted to 90th birthday of academician F.D.Gakhov (Minsk,
Belarus, February 1520, 1996), “Analytic Methods of Analysis and
Differential Equations” (AMADE99) (Minsk, Belarus, September 1418,
1999), and (AMADE2001) (Minsk, Belarus, February 1519, 2001).
AMADE2003 was organized by Belarusian State University together
with Institute of Mathematics of Belarusian National Academy of
Sciences. It was held at the Olympic Sport Center “Staiki” which
is situated in 10 km from Minsk, the capital of Belarus.
The Conference was organized under the guidance of the International
Society on Analysis, Applications and Computations (ISAAC) and was
included into the calendar of the events of the European Mathematical
Society.
Information on the Conference was published in the Journal “Fractional
Calculus and Applied Analysis” (2002, Vol. 5, no. 4, p. 519520),
in the Notices of the American Mathematical Society (2003, Vol.
50, no. 1, p. 83), and in the bulletin “Orthogonal Polynomials and
Special Functions” of SIAM Activity Group on Orthogonal Polynomials
and Special Functions. It was created the website www.amadebsu.com
containing the information on AMADE2003 and its predecessors.
More than 320 mathematicians from Europe, Africa, America and Asia
confirm their interest in the Conference. 166 representatives of
Algeria, Belarus, Canada, Finland, France, Great Britain, Korea,
Lithuania, Malaysia, Mexico, Poland, Portugal, Russia, Turkey, Ukraine,
Uzbekistan, USA and Vietnam took part in AMADE2003.
Four sections were working at the conference:
1. Integral Transforms and Special Functions.
2. Differential Equations and Applications.
3. Integral, Difference, Functional Equations and Fractional Calculus.
4. Real and Complex Analysis.
There were 23 plenary invited lectures and 116 sectional talks
devoted to different problems of modern analysis, differential equations
and their applications. Plenary invited lectures were given by the
following mathematicians:
 Antonevich A. (Minsk, Belarus), Zajkowski
K. (Bialystok, Poland) The spectral of functional operators and
the random walks
 Barabanov A.E. (St.Petersburg, Russia)
Hinfinity design for delayed systems
 Buraczewski A. (Olsztyn, Poland) On some
problem in determinant theory of Fredholm operators
 Burenkov V.I. (Cardiff, UK) Spectral
stability of the Neumann and Robin Laplacians
 Goryainov V.V. (Volzhsky, Russia)
Functional equations and fractional iteration of analytic
functions
 Gromak V.I. (Minsk, Belarus) On the higher
order Painleve equations
 Karapetyants N.Ê., Avsyankin Î.G., Gil À.V.
(RostovonDon, Russia) Certain questions of the theory of
integral operators with homogeneous kernels
 Kilbas A.A. (Minsk, Belarus) Integral and
differential equations of fractional order
 Clarkson P.A. (Canterbury, U.K.) Rational
solutions of the Painleve equations and associated special
polynomials
 Korzyuk V.I., Cheb Å.S. (Ìinsk, Belarus)
Averaging operators with variable mesh in the theory of boundary
value problems
 Kun Soo Chang (Seoul, Korea) Transforms and
convolutions in functional spaces
 Laine I. (Joensuu, Finland) Growth of
first, second and fourth Painleve transcendents
 Laurincikas A. (Vilnius, Lithuania)
Zetafunctions of holomorphic cusp forms
 Moiseev E.I. (Moscow, Russia) On a
nonlocal boundary value problems with spectral parameter
 Prilepko À.I., Tkachenko D.S. (Moscow,
Russia) Fredholmity of the inverse problem on the source for
parabolic systems
 Rahimov M., Gurkan F. (Sanliurfa, Turkey)
Spectral theory of operators which act from topological space to
endomorphism algebra of Banach space and multidimensional
differential equation in Lie algebra
 Rogosin S.V. (Minsk, Belarus) On analytic
solutions to a free boundary value problem with disconnected free
boundary
 Rozaini R., Zainodin H.J., Jusoh A.W. and
Ho C.M. (Kota Kinabalu, Malaysia) Blasius series on the steady
boundarylayer from an unsteady free convective problem
 Samko S.G. (Faro, Portugal) On a recent
progress on function spaces with nonstandard growth
 Silvestrov V.V. (Cheboksary, Russia),
Antipov Y.A. (Bath, UK) A system of functionaldifference
equations with periodic coefficients
 Sokolov M.S. (Tashkent, Uzbekistan)
Multiinterval boundary value problems. Multiplicity and spectral
representation
 Vakulov B.G., Karapetyants N.Ê.
(RostovonDon, Russia) Spherical operators of potential type with
singularities in poles of the sphere
 Yurchuk N.I. (Minsk, Belarus) A priori estimate and continuous
dependence on a form of boundary conditions of solution of mixed
problems for parabolic equations
The participants of the conference pointed out its high scientific
level.
The proceedings of AMADE2001 are planned to be published in special
issues of the Journal Proceedings of Institute of Mathematics
of the Belarusian National Academy of Sciences. A part of the reports
was recommended to publication in the Journal Integral Transforms
and Special Functions.
At the final meeting the participants suggested to organize the
next AMADEConference in February of 2006 and to devote it to the
centenary of academician F.D.Gakhov.
I.V.Gaishun, M.V.Dubatovskaya, A.A.Kilbas, S.V.Rogosin, A.A.Sen'ko
and N.I.Yurchuk
