Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations Softcover Repri Edition Contributor(s): Balser, Werner (Author) |
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ISBN: 1475774052 ISBN-13: 9781475774054 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: May 2013 |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis - Mathematics | Infinity |
Dewey: 515.243 |
Series: Universitext |
Physical Information: 0.68" H x 6.14" W x 9.21" (1.00 lbs) 301 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series. |