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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

  • Werner Balser

Part of the Universitext book series (UTX)

Table of contents

About this book

Introduction

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.

Keywords

Linear Meromorphic System Meromorphic Systems of ODE Ordinary Differential Equations differential equation ordinary differential equation

Authors and affiliations

  • Werner Balser
    • 1
  1. 1.Abteilung Mathematik VUniversität UlmUlmGermany

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