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Formal power series, systems of meromorphic ODEs

✍ Scribed by Werner Balser

Book ID
127419879
Publisher
Springer
Year
1999
Tongue
English
Weight
2 MB
Series
Universitext
Edition
1
Category
Library
ISBN
0387225986

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✦ 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.

πŸ“œ SIMILAR VOLUMES

Formal Power Series and Linear Systems o
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
✍ Werner Balser πŸ“‚ Library πŸ“… 2000 πŸ› Springer 🌐 English βš– 1 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