Ambarzumyan‐type theorem with polynomially dependent eigenparameter

DOI10.1002/mma.3380zbMath1338.34047OpenAlexW1926682405MaRDI QIDQ2795439

Chuan-Fu Yang, Xiao-Chuan Xu

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3380

zbMATH Keywords

inverse problemSturm-Liouville operatorjump conditionsboundary conditions with the spectral parameter

Mathematics Subject Classification ID

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)

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Cites Work

• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• On Ambarzumyan-type theorems
• Discontinuous inverse eigenvalue problems
• A uniqueness proof for discontinuous inverse Sturm-Liouville problems with symmetric potentials
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Integral transforms connected with discontinuous boundary value problems
• STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I