An inverse spectral problem for Sturm-Liouville operators with discontinuous coefficients

Author:

Carlson Robert

Abstract

For generic Sturm-Liouville problems with piecewise constant leading coefficients, the leading coefficient can be determined up to a finite ambiguity from the eigenvalues of the problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. Inverse eigenvalue problems with discontinuous coefficients;Andersson, Lars-Erik;Inverse Problems,1988

2. G. Birkhoff and G. Rota, Ordinary differential equations, Blaisdell, Waltham, MA, 1969.

3. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte;Borg, Göran;Acta Math.,1946

4. Texts and Monographs in Physics;Chadan, K.,1989

5. Solution of the inverse spectral problem for an impedance with integrable derivative. I, II;Coleman, Carol Flynn;Comm. Pure Appl. Math.,1993

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