Umfang:
Online-Ressource (XVIII, 301 p, online resource)
ISBN:
9780387225982
Serie:
Universitext
Inhalt:
Basic Properties of Solutions -- Singularities of First Kind -- Highest-Level Formal Solutions -- Asymptotic Power Series -- Integral Operators -- Summable Power Series -- Cauchy-Heine Transform -- Solutions of Highest Level -- Stokes’ Phenomenon -- Multisummable Power Series -- Ecalle’s Acceleration Operators -- Other Related Questions -- Applications in Other Areas, and Computer Algebra -- Some Historical Remarks.
Inhalt:
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.
Weitere Ausg.:
ISBN 9780387986906
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Balser, Werner, 1946 - Formal power series and linear systems of meromorphic ordinary differential equations New York, NY [u.a.] : Springer, 2000 ISBN 0387986901
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
System von gewöhnlichen Differentialgleichungen
;
Lineares Differentialgleichungssystem
;
Meromorphe Funktion
;
Formale Potenzreihe
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Balser, Werner 1946-
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