Lviv Polytechnic National University

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20022005

most citedInverse spectral problems for Sturm-Liouville operators with singular potentials

121 citations

researchers with a paper here

Mykhailo Zarichnyi2
Rostyslav Hryniv2
Ya. V. Mykytyuk2
E. D. Tymchatyn1
Johannes Richter1
Lidiya Bazylevych1
Oleg Derzhko1

collaborating institutions

Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUA3 papers
Institute of MathematicsPL1 paper
National Academy of Sciences of UkraineUA1 paper
University of RzeszówPL1 paper
University of SaskatchewanCA1 paper
Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA1 paper

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2 papers · 1 filter

math.SP2003★ 6 cited

Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra

R. O. Hryniv, Ya. V. Mykytyuk

We solve the inverse spectral problem of recovering the singular potentials $q \in W_{2}^{- 1} (0, 1)$ of Sturm-Liouville operators by two spectra. The reconstruction algorithm is pres…

math.SP2002★ 121 cited

Inverse spectral problems for Sturm-Liouville operators with singular potentials

R. O. Hryniv, Ya. V. Mykytyuk

The inverse spectral problem is solved for the class of Sturm-Liouville operators with singular real-valued potentials from the space $W_{2}^{- 1} (0, 1)$ . The potential is recovered vi…