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On the Non-Existence of Conjugate Points

Published online by Cambridge University Press:  20 November 2018

G. J. Butler,
L. H. Erbe and
R. M. Mathsen
G. J. Butler
Affiliation:
University of Alberta, Edmonton, Alberta
L. H. Erbe
Affiliation:
University of Alberta, Edmonton, Alberta
R. M. Mathsen
Affiliation:
University of Alberta, Edmonton, Alberta
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In this paper we consider the types of pairs of multiple zeros which a solution to the differential equation

can possess on an interval I of the real line. The results obtained generalize those in [2] and (for n = 3) in [3].

I. Let f satisfy the condition

1.1

for all t ∊ I, u0 ≠ 0, and all u 1, … u n-1.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 1 , March 1970, pp. 31 - 37
Copyright
Copyright © Canadian Mathematical Society 1970

References

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5. Sherman, T. L., Conjugate points and simple zeros for ordinary linear differential equations (submitted for publication).Google Scholar