International Conference “Analytical Methods of Analysis and Differential
Equations” (AMADE-99), Minsk, Belarus, September 14-18, 1999
International Conference “Analytic Methods of Analysis and Differential
Equations” (AMADE) was organized by Belarusin State University and
by Institute of Mathematics of Belarusian National Academy of Sciences
together with Moscow State University and Computer Center of Russian
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 announcement of AMADE was published in Notes of American Mathematical
Society 46 (1999) no.1-3, in Fractional Calculus and Applied Analysis
1 (1998) no. 3, in Information Bulletin “Integral Transforms and
Special Functions” (Scientic Group of Integral Transforms and Special
Functions) 2 (1998) no. 1, in Newsletter “Orthogonal Polynomials
and Special Functions” (SIAM Activity Group on Orthogonal Polynomials
and Special Functions) 9 (1999) no. 1-3.
More than 320 mathematicians have conrmed their interest to the
Conference. Abstracts of their reports were published in “Abstracts
165 scientists from Algeria, Australia, Belarus, France, Germany,
Great Britain, Italy, Japan, Korea, Lithuania, Poland, Portugal,
Russia, Spain, Ukraine and USA took part in AMADE.
It was done 18 plenary invited lectures and 93 sections talks on
various modern problems of integral transforms, special functions,
differential equations, operator theory, approximation and fractional
Plenary invited lectures were given by the following mathematicians:
- Burenkov, V.I. (Great Britain): Extension
theorems for spaces of differentiable functions defined on
strongly degenerated domains.
- Gaishun, I.V. (Belarus): Canonical forms
of linear nestatsionar system of equations and their applications.
- Glaeske, H.-J. (Germany), together with
Saigo, M. (Japan): On a hybrid Laguerre Fourier transforms.
- Grebennikov, E.A. (Russia), together with
Kozak, D., and Yakubyak, M. (Poland): KAM-theory and stability of
homographic solutions of hamiltonian systems of cosmic dynamics.
- Gromak, V.I. (Belarus): Isodromic
deformation of linear systems and of p-type equations.
- Karapetyants, N.K.(Russia): On a
fredholmness of a class of Hankel operators.
- Kilbas, A.A. (Belarus): Integral and
differential equations of fractional order. Theory and
- Korzyuk, V.I. (Belarus): Conjugation
problems for differential equations with integro-differential
- Kun Soo Chang (Korea): Analytic
Fourier-Feynman transform and convolution of functionals on
abstract Wiener space.
- Laurinchikas, A. (Lithuania):The Lerch
- Lebedev, A.V., together with Antonevich,
A.B. and Bakhtin, V.I. (Belarus): Variational principle for
- Love, E.R. (Australia): Fourier-style
expansions in series of general Legendre functions.
- Marichev, O.I., together with Trott, M.
and Adamchik, V.S. (USA): The mathematical functions in
- Mitjushev, V.V. (Poland), together with
Adler, P. (France): Boundary value problems in a class of doubly
periodic functions and their applications in porous media.
- Nakhushev, A.M., together with
Nakhusheva, V.A. (Russia): On some differential equations of
fractional order and their applications.
- Rogosin, S.V.(Belarus), together with
Reissig, M.(Germany): Complex Hele-Shaw model with linear and
nonlinear kinetic undercooling regularization.
- Saitoh, S.(Japan): Various integral
operators induced by integral transforms.
- Yurchuk, N.I.(Belarus): Regularization by nonlocal conditions
of the incorrect problems for the differential operator equations.
93 section talks were distributed in the following way:
- Integral Transforms and Special Functions
- Ordinary Differential equations (13)
- Partial Differenial Equations (13)
- Different Aspects of Function Theory (12)
- Applications of Differential Equations
and Function Theory (15)
- Integral and Functional Equations and
- Operator Theory (13)
Proceedings of AMADE will be applied to publication in “Proceedings
of Insttitute of Mathematics” by Belarusian Natsional Academy of
Sciences. Part of reports will be published in a special issue of
“Integral Transforms and Special Functions”, devoted to Professor
Anatolii Platonovich Prudnikov (Russia) who was one of the main
foundators of AMADE. Though his sudden death on January 10, 1999
was a big tragedy, participants of Conference have honored his memory
in their reports.
I.V.Gaishun, M.V.Dubatovskaya, A.A.Kilbas, S.V.Rogosin, A.A.Sen'ko
A note in memorium of Anatolii Platonovich