Direct and inverse Robin-Regge problems

Direct and inverse Robin-Regge problems

The Sturm-Liouville equation is considered on a bounded interval with a Robin boundary condition at the left end and a generalized Regge condition at the right end. Properties of the spectrum of this problem are derived, including the location of the spectrum in the lower half-plane and the asy...

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Bibliographic Details
Main Authors: Manfred Moller, Vyacheslav Pivovarchik
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
String problem
viscous damping
Robin boundary condition
generalized Regge boundary condition
spectral asymptotics
inverse problems
Online Access:http://ejde.math.txstate.edu/Volumes/2017/287/abstr.html
Description
Summary:The Sturm-Liouville equation is considered on a bounded interval with a Robin boundary condition at the left end and a generalized Regge condition at the right end. Properties of the spectrum of this problem are derived, including the location of the spectrum in the lower half-plane and the asymptotic distribution of the eigenvalues. The inverse problem is solved, given one spectrum or parts of two spectra.
ISSN:1072-6691

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