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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

✍ Scribed by Werner Balser

Book ID
127419450
Publisher
Springer
Year
2000
Tongue
English
Weight
1 MB
Series
Universitext
Edition
1
Category
Library
City
New York
ISBN
0387225986

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Обыкновенные дифференциальные уравнения

📜 SIMILAR VOLUMES

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✍ Werner Balser 📂 Library 📅 1999 🏛 Springer 🌐 English ⚖ 2 MB

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