Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Author:   Werner Balser
Publisher:   Springer-Verlag New York Inc.
Edition:   2000 ed.
ISBN:  

9780387986906


Pages:   301
Publication Date:   29 October 1999
Format:   Hardback
Availability:   In Print   Availability explained
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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations


Overview

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.

Full Product Details

Author:   Werner Balser
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2000 ed.
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.670kg
ISBN:  

9780387986906


ISBN 10:   0387986901
Pages:   301
Publication Date:   29 October 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Basic Properties of Solutions.- Singularities of First Kind.- Highest-Level Formal Solutions.- Asymptotic Power Series.- Integral Operators.- Summable Power Series.- Cauchy-Heine Transform.- Solutions of Highest Level.- Stokes’ Phenomenon.- Multisummable Power Series.- Ecalle’s Acceleration Operators.- Other Related Questions.- Applications in Other Areas, and Computer Algebra.- Some Historical Remarks.

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