Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
DOI10.1016/J.JMAA.2003.11.025zbMath1046.34021OpenAlexW2047581145MaRDI QIDQ1426079
Paul A. Binding, Patrick J. Browne, Bruce Alastair Watson
Publication date: 14 March 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.025
Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)
Related Items (32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvalue ratios for Sturm--Liouville operators
- Asymptotic formulae for eigenvalues of limit circle problems on a half line
- Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
- A new approach to inverse spectral theory. I: Fundamental formalism
- On inverse problems associated with second-order differential operators
- Discrete and continuous boundary problems
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- Eigenfunction expansions for a class of J-selfadjoint ordinary differential operators with boundary conditions containing the eigenvalue parameter
- Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
- On the spectral functions of the string
- Sturm–Liouville problems with eigenparameter dependent boundary conditions
- Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
- Zeros of the Wronskian and Renormalized Oscillation Theory
- Some questions in the theory of one-dimensional linear differential operators of the second order. I
- AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
- A proof of the local Borg-Marchenko theorem
This page was built for publication: Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.