Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations par Werner Balser

April 22, 2019

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations par Werner Balser

Titre de livre: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Auteur: Werner Balser

Date de sortie: October 29, 1999

Broché: 301 pages

ISBN: 0387986901

Éditeur: Springer

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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.