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OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Part of: Qualitative theory

Published online by Cambridge University Press:  09 February 2009

MARTIN CHUAQUI ,
PETER DUREN ,
BRAD OSGOOD  and
DENNIS STOWE
MARTIN CHUAQUI
Affiliation:
Facultad de Matemáticas, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile (email: mchuaqui@mat.puc.cl)
PETER DUREN*
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USA (email: duren@umich.edu)
BRAD OSGOOD
Affiliation:
Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA (email: osgood@ee.stanford.edu)
DENNIS STOWE
Affiliation:
Department of Mathematics, Idaho State University, Pocatello, ID 83204, USA (email: stowdenn@isu.edu)
*
✉For correspondence; e-mail: duren@umich.edu
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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.

Keywords

linear differential equationszeros of solutionsoscillationrelative convexitySturm comparison theoremSchwarzian derivativeunivalence

MSC classification

Secondary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 161 - 169
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

The authors are supported by Fondecyt Grant #1071019.

References

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