Formal power series and linear systems of meromorphic ordinary differential equations
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Word Count
74,750 words, Guess
Page Count
299 pages
Identifiers
- Open LibraryOL40562M
- ISBN-100387986901
- OCLC Control Number41338175
- OCLC Control Numberformalpowerserie00bals_051
- Library of Congress Control Number99031350
and 2 more
- Goodreads3576835
- LibraryThing5221984
Classifications
- DDC515/.2432
- LCCQA295 .B325 2000
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.
Subjects
Series Statement
- Universitext
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