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Original Essays | April 11, 2014

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This title in other editions

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations (Universitext)

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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Description:

Includes bibliographical references (p. [267]-288) and index.

Table of Contents

Basic Properties of Solutions.- Singularities of First Kind.- Highest Level Simplifications.- Asymptotic Power Series.- Integral Transforms.- Summable Power Series.- Cauchy-Heine Transform.- Solutions of Highest Level.- Acceleration Operators.- Multisummable Power Series.- Some Equivalent Definitions of Multisummability.- Matrices and Vector Spaces.- Functions with Values in Banach Spaces.- Functions of a Matrix.

Product Details

ISBN:
9780387986906
Author:
Balser, Werner
Publisher:
Springer
Location:
New York, NY
Subject:
Differential Equations
Subject:
Mathematical Analysis
Subject:
Differential equations, linear
Subject:
Power series
Subject:
Functions, Meromorphic.
Subject:
Linear Meromorphic System
Subject:
Meromorphic Systems of ODE
Subject:
ordinary differential equations
Subject:
Analysis
Subject:
Mathematics-Differential Equations
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
Book
Series:
Universitext
Series Volume:
99-305
Publication Date:
19991029
Binding:
HARDCOVER
Language:
English
Pages:
319
Dimensions:
235 x 155 mm 580 gr

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Science and Mathematics » Mathematics » Differential Equations

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