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ArticleOriginal scientific text

Title

Asymptotic solutions to Fuchsian equations in several variables

Authors 1, 1

Affiliations

  1. Department of Computational Mathematics and Cybernetics, Moscow State University, 119899 Moscow, Russia

Abstract

The aim of this paper is to construct asymptotic solutions to multidimensional Fuchsian equations near points of their degeneracy. Such construction is based on the theory of resurgent functions of several complex variables worked out by the authors in [1]. This theory allows us to construct explicit resurgent solutions to Fuchsian equations and also to investigate evolution equations (Cauchy problems) with operators of Fuchsian type in their right-hand parts.

Bibliography

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Banach Center Publications
1996/33/1
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Pages:
351-363
Main language of publication
English
Published
1996
Exact and natural sciences