Decio Levi; Pavel Winternitz Painlev? Transcendents 9781489911605

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Автор: Decio Levi; Pavel Winternitz
Название: Painlev? Transcendents
ISBN: 9781489911605
Издательство: Springer
Классификация: ISBN-10: 148991160X
Обложка/Формат: Soft cover
Страницы: 446
Вес: 0.66 кг.
Дата издания: 12.06.2013
Серия: Nato Science Series B:
Язык: English
Размер: 234 x 156 x 24
Читательская аудитория: Science
Основная тема: Theoretical, Mathematical and Computational Physics
Подзаголовок: Their Asymptotics and Physical Applications
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The NATO Advanced Research Workshop Painleve Transcendents, their Asymp- totics and Physical Applications, held at the Alpine Inn in Sainte-Adele, near Montreal, September 2 -7, 1990, brought together a group of experts to discuss the topic and produce this volume. There were 41 participants from 14 countries and 27 lectures were presented, all included in this volume. The speakers presented reviews of topics to which they themselves have made important contributions and also re- sults of new original research. The result is a volume which, though multiauthored, has the character of a monograph on a single topic. This is the theory of nonlinear ordinary differential equations, the solutions of which have no movable singularities, other than poles, and the extension of this theory to partial differential equations. For short we shall call such systems equations with the Painleve property. The search for such equations was a very topical mathematical problem in the 19th century. Early work concentrated on first order differential equations. One of Painleves important contributions in this field was to develop simple methods applicable to higher order equations. In particular these methods made possible a complete analysis of the equation;; = f(y, y, x), where f is a rational function of y and y, with coefficients that are analytic in x. The fundamental result due to Painleve (Acta Math.

Painlev? Transcendents, Decio Levi; Pavel Winternitz