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Disconjugacy Conditions for the Third Order Linear Differential Equation

Published online by Cambridge University Press:  20 November 2018

Lynn Erbe
Lynn Erbe*
Affiliation:
University of Alberta, Edmonton
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An nth order homogeneous linear differential equation is said to be disconjugate on the interval I of the real line in case no non-trivial solution of the equation has more than n - 1 zeros (counting multiplicity) on I. It is the purpose of this paper to establish several necessary and sufficient conditions for disconjugacy of the third order linear differential equation

(1.1)

where pi(t) is continuous on the compact interval [a, b], i = 0, 1, 2.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 5 , October 1969 , pp. 603 - 613
Copyright
Copyright © Canadian Mathematical Society 1969

References

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