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OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  09 February 2009

MARTIN CHUAQUI
Affiliation:
Facultad de Matemáticas, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile (email: [email protected])
PETER DUREN*
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USA (email: [email protected])
BRAD OSGOOD
Affiliation:
Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA (email: [email protected])
DENNIS STOWE
Affiliation:
Department of Mathematics, Idaho State University, Pocatello, ID 83204, USA (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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In this note we study the zeros of solutions of differential equations of the form u′′+pu=0. A criterion for oscillation is found, and some sharper forms of the Sturm comparison theorem are given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

The authors are supported by Fondecyt Grant #1071019.

References

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