Universitext

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Authors: Balser, Werner

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About this Textbook

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.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-0-387-22598-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-0-387-98690-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4757-7405-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Authors
Series Title
Universitext
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-387-22598-2
DOI
10.1007/b97608
Hardcover ISBN
978-0-387-98690-6
Softcover ISBN
978-1-4757-7405-4
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XVIII, 301
Topics