Nevanlinna Functions and the Inverse Three Spectra Problem

@inproceedings{Boyko2016NevanlinnaFA,
  title={Nevanlinna Functions and the Inverse Three Spectra Problem},
  author={Olga Boyko and Olga Martinyuk and Vyacheslav Pivovarchik},
  year={2016}
}
The three spectra problem of recovering the Sturm-Liouville equation by the spectrum of the Dirichlet-Dirichlet boundary value problem on [0, a], the Dirichlet-Dirichlet problem on [0, a/2] and the Neumann-Dirichlet problem on [a/2, a] is considered. Sufficient conditions of solvability and of uniqueness of the solution to such a problem are found. 

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References

Publications referenced by this paper.
Showing 1-10 of 22 references

An inverse Sturm-Liouville problem by three spectra

  • V. Pivovarchik
  • Integral Equations and Operator Theory 34
  • 1999
Highly Influential
4 Excerpts

On Hald-Gesztesy-Simon

  • V. Pivovarchik
  • Integral Equations and Operator Theory 73
  • 2012

Constructibility of an L2R(0

  • M. Drignei
  • a) solution to an inverse Sturm-Liouville using…
  • 2010

On Hochstadt-Lieberman theorem

  • O. Martynyuk, V. Pivovarchik
  • Inverse Problems 26
  • 2010

Characteristic functions of quantum graphs

  • C.-K. Law, V. Pivovarchik
  • J. Phys. A: Math. Theor. 42
  • 2009
1 Excerpt

On the missing eigenvalue problem for an inverse Sturm-Liouville problem

  • G. Wei, H.-K. Xu
  • J. Math. Pures Appl. 91
  • 2009

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