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

Libro 57 de 261: Universitext

Balser, Werner

 
9781475774054: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations (Universitext)

Sinopsis

Preliminary Text. Do not use. 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.

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Reseña del editor

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.

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Otras ediciones populares con el mismo título

9780387986906: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations (Universitext)

Edición Destacada

ISBN 10:  0387986901 ISBN 13:  9780387986906
Editorial: Springer, 1999
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