Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions

Details Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions

2008-03-04

arxiv.org/abs/0803.0566v1

Inverse Problems 21 (2005) 1315-1330

Mathematics

Spectral Theory

Scientific paper

10.1088/0266-5611/21/4/008

Inverse problems of recovering the coefficients of Sturm-Liouville problems
with the eigenvalue parameter linearly contained in one of the boundary
conditions are studied: (1) from the sequences of eigenvalues and norming
constants; (2) from two spectra. Necessary and sufficient conditions for the
solvability of these inverse problems are obtained.

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