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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations (Universitext)
by Werner Balser
Binding: Hardcover, 1 edition, 299 pages
Publisher: Springer
List Price: USD $74.95
Weight: 128
Dimension: H: 0.8 x L: 9.59 x W: 6.4 inches
ISBN 10: 0387986901
ISBN 13: 9780387986906
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Book 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.

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