• ISBN13: 9780387986906
• Binding: Hardcover
• Subject: Mathematics and Statistics
• Publisher: Springer Verlag
• Publisher Imprint: Springer V
• Publication Date: January 1, 2000
• Pages: 320
• Original Price: EUR 129.99
• Language: English
• Edition: N/A
• Item Weight: 581 grams
• BISAC Subject(s): Differential Equations / General and Mathematical Analysis

Preliminary Text. Do not use. 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.