| The Stokes Phenomenon and Hilbert's 16th Problem Contributor(s): Braaksma, B. L. J. (Editor), Immink, G. K. (Editor), Van Der Put, M. (Editor) |
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ISBN: 9810225679 ISBN-13: 9789810225674 Publisher: World Scientific Publishing Company OUR PRICE: $115.90 Product Type: Hardcover Published: May 1996 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General |
| Dewey: 515.352 |
| LCCN: 96200807 |
| Physical Information: 340 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The 16th Problem of Hilbert is one of the most famous remaining unsolved problems of mathematics. It concerns whether a polynomial vector field on the plane has a finite number of limit cycles. There is a strong connection with divergent solutions of differential equations, where a central role is played by the Stokes Phenomenon, the change in asymptotic behaviour of the solutions in different sectors of the complex plane.The contributions to these proceedings survey both of these themes, including historical and modern theoretical points of view. Topics covered include the Riemann-Hilbert problem, Painleve equations, nonlinear Stokes phenomena, and the inverse Galois problem. |