A generalisation of Prüfer’s transformation
Authors:
N. Anderson and A. M. Arthurs
Journal:
Quart. Appl. Math. 53 (1995), 559-562
MSC:
Primary 34A05; Secondary 34A25, 34B24
DOI:
https://doi.org/10.1090/qam/1343467
MathSciNet review:
MR1343467
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Abstract: A canonical version of the Prüfer system for Sturm-Liouville equations is presented. The partial uncoupling of the first-order equations remains, providing a basis for their solution in succession.
G. Birkhoff and G. C. Rota, Ordinary Differential Equations, Wiley, New York, fourth edition, 1989
H. Prüfer, Neue Herleitung der Sturm-Liouvilleschen Reihentwicklung stetiger Funktionen, Math. Ann. 95, 499–518 (1926)
G. Birkhoff and G. C. Rota, Ordinary Differential Equations, Wiley, New York, fourth edition, 1989
H. Prüfer, Neue Herleitung der Sturm-Liouvilleschen Reihentwicklung stetiger Funktionen, Math. Ann. 95, 499–518 (1926)
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Article copyright:
© Copyright 1995
American Mathematical Society
