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Inverse spectral problems for Sturm–Liouville differential operators on a finite interval
Published/Copyright:
October 12, 2009
Abstract
A short review is given on inverse problems of spectral analysis for the Sturm–Liouville differential operator on a finite interval. Using this operator as a model we present the main ideas and methods in the inverse problem theory, and describe the main results for this class of inverse problems.
Key words.: Sturm–Liouville operators; inverse spectral problems
Received: 2008-12-08
Published Online: 2009-10-12
Published in Print: 2009-October
© de Gruyter 2009
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Articles in the same Issue
- Inverse spectral problems for Sturm–Liouville differential operators on a finite interval
- Analytic representations of solutions to inverse problems for nonlinear equations
- An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
- Convergence analysis of gradient descend methods generated by two different functionals in a backward heat conduction problem
Articles in the same Issue
- Inverse spectral problems for Sturm–Liouville differential operators on a finite interval
- Analytic representations of solutions to inverse problems for nonlinear equations
- An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
- Convergence analysis of gradient descend methods generated by two different functionals in a backward heat conduction problem
