Iterative solution of the inverse Sturm-Liouville problem

DOI10.1063/1.1666664zbMath0279.34016OpenAlexW2081710629MaRDI QIDQ4765415

Victor Barcilon

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666664

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear boundary value problems for ordinary differential equations (34B05) Ordinary differential operators (34L99)

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Enclosing solutions of an inverse Sturm-Liouville problem with finite data, The Inverse Sturm-Liouville Problem and the Rayleigh-Ritz Method, Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I, Discrete analog of an iterative method for inverse eigenvalue problems for Jacobi matrices, The inverse Sturm-Liouville problem with symmetric potentials, Expansions associated with products of solutions of two regular Sturm- Liouville problems, Expansions in products of solutions of two Dirac systems, Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems, Closure of the squared Zakharov-Shabat eigenstates, On an application of Crum–Krein transform to expansions in products of solutions of two Sturm–Liouville equations, An inverse Sturm-Liouville problem for an impedance, Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides, Numerical algorithms for inverse Sturm-Liouville problems

Cites Work

• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• On the determination of a differential equation from its spectral function
• Asymptotic estimates for the Sturm-Liouville spectrum
• On the determination of a Sturm-Liouville equation by two spectra