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Estimates for the periodic and semi-periodic eigenvalues of Hill's equation

Published online by Cambridge University Press:  11 July 2007

Haskiz Coskun
Affiliation:
Department of Mathematics, Karadeniz Technical University, 61080 Trabzon, Turkey
B. J. Harris
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA

Abstract

We consider Hill's equation on the interval [0, a] with periodic and semi-periodic boundary condition. We derive the asymptotic form of the eigenvalues without smoothness conditions on q.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2000

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