Manfred Moller, Vyacheslav Pivovarchik
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.
Submitted August 8, 2017. Published November 17, 2017.
Math Subject Classifications: 34B09, 34B07, 34B24, 34L20, 34A55
Key Words: String problem; viscous damping; Robin boundary condition;
generalized Regge boundary condition; spectral asymptotics;
inverse problems.
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Manfred Möller The John Knopfmacher Centre for Applicable Analysis and Number Theory School of Mathematics University of the Witwatersrand Johannesburg, WITS 2050, South Africa email: manfred.moller@wits.ac.za |
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Vyacheslav Pivovarchik Department of Algebra and Geometry South-Ukrainian National Pedagogocal University Staroportofrankovskaya str. 26 Odessa, 65020, Ukraine email: vpivovarchik@gmail.com |
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