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OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Authors :
Martin Chuaqui
Dennis Stowe
Peter Duren
Brad Osgood
Source :
Bulletin of the Australian Mathematical Society. 79:161-169
Publication Year :
2009
Publisher :
Cambridge University Press (CUP), 2009.

Abstract

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.

Subjects

Subjects :
Oscillation theory
Examples of differential equations
Comparison theorem
Linear differential equation
General Mathematics
Mathematical analysis
Sturm–Liouville theory
Sturm–Picone comparison theorem
Sturm separation theorem
Mathematics
Numerical partial differential equations

Details

ISSN :
17551633 and 00049727
Volume :
79
Database :
OpenAIRE
Journal :
Bulletin of the Australian Mathematical Society
Accession number :
edsair.doi...........80e2a72982bd884f65d24109d36c2a0e
Full Text :
https://doi.org/10.1017/s0004972708001202
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