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On a Relation Between a Theorem of Hartman and a Theorem of Sherman

Published online by Cambridge University Press:  20 November 2018

A. C. Peterson
A. C. Peterson*
Affiliation:
University of Nebraska, Lincoln, Nebraska
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We are concerned with the nth-order linear differential equation

1

where the coefficients are assumed to be continuous. Hartman [1] proved that (see Definition 2) the first conjugate point η1(t) of t satisfies

2

Hartman actually proved a more general result which has very important applications in nonlinear differential equations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973 , pp. 275 - 281
Copyright
Copyright © Canadian Mathematical Society 1973

References

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