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
of AMADE”.
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
calculus.
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 applications.
- Korzyuk, V.I. (Belarus): Conjugation problems for differential
equations with integro-differential conditions.
- Kun Soo Chang (Korea): Analytic Fourier-Feynman transform and
convolution of functionals on abstract Wiener space.
- Laurinchikas, A. (Lithuania):The Lerch zeta function.
- Lebedev, A.V., together with Antonevich, A.B. and Bakhtin, V.I.
(Belarus): Variational principle for spectral radius.
- 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 Mathematica.
- 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 (14)
- 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 Applications (13)
- 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
and N.I.Yurchuk
A note in memorium of Anatolii Platonovich
Prudnikov
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