A new approach to uniqueness for inverse Sturm--Liouville problems on finite intervals

DOI10.3906/mat-1609-38zbMath1424.34067OpenAlexW2759371095MaRDI QIDQ4633362

Seyfollah Mosazadeh

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1609-38

zbMATH Keywords

inverse Sturm-Liouville problemWeyl solutions\(m_{j}\)-functionstransformation kernel

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) Inverse problems involving ordinary differential equations (34A55)

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Cites Work

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• A new approach to inverse spectral theory. I: Fundamental formalism
• The stability of the solution of an inverse spectral problem with a singularity
• Inverse problems for differential equations with turning points
• Uniqueness of positive solutions for Sturm-Liouville boundary value problems
• The uniqueness theorem for inverse nodal problems with a chemical potential
• THE TRANSMUTATION METHOD AND SCHRÖDINGER EQUATION WITH PERTURBED EXACTLY SOLVABLE POTENTIAL
• Linear integral equations
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