Direct and inverse Robin-Regge problems
Date
2017-11-17
Authors
Möller, Manfred
Pivovarchik, Vyacheslav
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
String problem, Viscous damping, Robin boundary condition, Generalized Regge boundary condition, Spectral asymptotics, Inverse problems
Citation
Möller, M., & Pivovarchik, V. (2017). Direct and inverse Robin-Regge problems. <i>Electronic Journal of Differential Equations, 2017</i>(287), pp. 1-18.
Rights
Attribution 4.0 International