Formal power series and linear systems of meromorphic ordinary differential equations /
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 comput...
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
2000.
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| Series: | Universitext
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xviii, 299 pages) |
| Bibliography: | Includes bibliographical references (pages 267-288) and index. |
| ISBN: | 0387225986 9780387225982 |