A Sub-Density Theorem of Sturm-Liouville Eigenvalue Problem with Finitely Many Singularities


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Abstract

We study the distribution of the Sturm-Liouville eigenvalues of a potential with finitely many singularities. There is an asymptotically periodical structure on this class of eigenvalues as described by the entire function theory. We describe the singularities of its potential function explicitly in its eigenvalue asymptotics.

About the authors

L.-H. Chen

National Chung Cheng University

Author for correspondence.
Email: mr.lunghuichen@gmail.com
China, Taiwan

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