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Oscillation and Comparison Theorems for Second Order Linear Differential Equations with Integrable Coefficients

Published online by Cambridge University Press:  20 November 2018

G. Butler  and
J. W. Macki
G. Butler
Affiliation:
University of Alberta, Edmonton, Alberta
J. W. Macki
Affiliation:
University of Alberta, Edmonton, Alberta
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The classical comparison and interlacing theorems of Sturm were originally proved for the equations

under the assumption that all coefficients are real-valued, continuous, and p > 0, P > 0. Atkinson [1, Chapter 8] has carried out the standard theory for eigenvalue problems involving (1), under the more general hypothesis

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 294 - 301
Copyright
Copyright © Canadian Mathematical Society 1974

References

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