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Oscillation criteria and the discreteness of the spectrum of self-adjoint, even order, differential operators

Published online by Cambridge University Press:  14 November 2011

Ondřej Došlý
Ondřej Došlý
Affiliation:
Department of Mathematics, Masaryk University, Janáčkovo nám. 2a, 662 95 Brno, Czechoslovakia
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Synopsis

This paper deals with the oscillation properties of self-adjoint differential equations

The oscillation criteria are derived, which allows a unified approach to the investigation of (*) near a finite or infinite singularity. These criteria are used to study spectral properties of singular differential operators associated with (*).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 3-4 , 1991 , pp. 219 - 232
Copyright
Copyright © Royal Society of Edinburgh 1991

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