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Generalized de la Vallée Poussin Disconjugacy Tests for Linear Differential Equations(1)

Published online by Cambridge University Press:  20 November 2018

D. Willett
D. Willett*
Affiliation:
University of Utah, Salt Lake City, Utah; University of Alberta, Edmonton, Alberta
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In this paper, we study the oscillatory behavior of the solutions of the linear differential equation

(1.1)

where

(1.2)

and all functions are assumed to be continuous on a bounded interval [a, b). An «th-order linear equation is said to be disconjugate on an interval I provided it has no nontrivial solution with more than n — 1 zeros, counting multiplicities, in I.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 419 - 428
Copyright
Copyright © Canadian Mathematical Society 1971

Footnotes

(1)

Research supported, in part, by NSF Grant GP-19425.

References

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