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Oscillation on Finite or Infinite Intervals of Second Order Linear Differential Equations(1)

Published online by Cambridge University Press:  20 November 2018

D. Willett
D. Willett*
Affiliation:
University of Alberta, Edmonton, Alberta; University of Utah, Salt Lake City
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Recently, Ronveaux [11] has shown how to use a combination of a Riccati transformation and a homographie transformation to estimate both from below and above the distance between a zero and the succeeding or preceding extremum (zero of y' ) of solutions of

1.1

In this paper, we show how such transformations can be used to derive an equation from which the distance between successive zeros of a solution y of (1.1) can be estimated directly.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 539 - 550
Copyright
Copyright © Canadian Mathematical Society 1971

Footnotes

(1)

Research supported, in part, by National Research Council of Canada Grant A3053 to the Univ. of Alberta.

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