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Extension of Ambarzumyan's theorem to general boundary conditions

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Publication:5955038
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DOI10.1006/jmaa.2001.7472zbMath1008.34017OpenAlexW1966967914MaRDI QIDQ5955038

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Publication date: 6 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7472


zbMATH Keywords

eigenvalue asymptoticsAmbarzumyan theoremGelfand-Levitan equationinverse spectral theory


Mathematics Subject Classification ID

Sturm-Liouville theory (34B24)


Related Items (4)

A new kind of uniqueness theorems for inverse Sturm-Liouville problems ⋮ Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions ⋮ A remark on Ambarzumian's theorem ⋮ A vectorial inverse nodal problem



Cites Work

  • On the well-posedness of the inverse nodal problem
  • On the n -dimensional Ambarzumyan's theorem
  • A solution of the inverse nodal problem
  • On an extension of the theorem of V. A. Ambarzumyan
  • The inverse nodal problem on the smoothness of the potential function
  • Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
  • Unnamed Item


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