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The Riemann-Hilbert Problem: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Aspects of Mathematics)

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The Riemann-Hilbert Problem: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Aspects of Mathematics) image
ISBN-10:

352806496X

ISBN-13:

9783528064969

Author(s): Anosov, D.V.; Bolibruch, A. A.
Edition: 1994
Released: Jan 01, 1994
Publisher: Vieweg+Teubner Verlag
Format: Hardcover, 193 pages
Related ISBN: 9783322929112
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Description:

The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.

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