Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/BF01399008.pdf
Reference9 articles.
1. Hill, G.W.: On the part of the motion of the lunar perigee, which is a function of the mean motions of the sun and the moon. Acta Math.8, 1?36 (1886)
2. Magnus, W.: Infinite determinants associated with Hill's equation. Pacific J. Math.5, Suppl. 2, 941?951 (1955),
3. Mennicken, R.: On the convergence of infinite Hill-type determinants. Arch. Rational Mech. Anal.30, 12?37 (1968)
4. Mennicken, R., Wagenführer, E.: Über die Konvergenz verallgemeinerter Hillscher Determinanten. Math. Nachr.72, 21?49 (1976)
5. Mennicken R., Wagenführer, E.: Numerische Mathematik 1. Reinbek: Rowohlt-Vieweg 1976
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1. Second-order linear differential equations with two irregular singular points of rank three: the characteristic exponent;Journal of Computational and Applied Mathematics;2000-06
2. On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems;Differential and Integral Operators;1998
3. Hill's Equation Systems and Infinite Determinants;Mathematische Nachrichten;1995
4. Convergence Improvement for the Infinite Determinants of Hill Systems;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;1995
5. The Characteristic Exponent of Second-Order Linear Differential Equations with Two Irregular Singular Points;Proceedings of the American Mathematical Society;1993-07
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