121 citations
- Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUA3 papers
- National Academy of Sciences of UkraineUA2 papers
- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA2 papers
- Institute of MathematicsPL1 paper
- University of BayreuthDE1 paper
- University of FloridaUS1 paper
- University of LjubljanaSI1 paper
- University of RzeszówPL1 paper
- University of SaskatchewanCA1 paper
4 papers
Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
Oleg Derzhko, Johannes Richter
We consider the quantum spin- Heisenberg antiferromagnet on the two- and three-dimensional pyrochlore lattices and examine a spin-Peierls mechanism of lowering the total e…
Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale
R. O. Hryniv, Ya. V. Mykytyuk
We solve the inverse spectral problems for the class of Sturm--Liouville operators with singular real-valued potentials from the Sobolev space W^{s-1}_2(0,1), s\in[0,1]. The potent…
On convex bodies of constant width
L. E. Bazylevych, M. M. Zarichnyi
We present an alternative proof of the following fact: the hyperspace of compact closed subsets of constant width in is a contractible Hilbert cube manifold. The proo…
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 of Sturm-Liouville operators by two spectra. The reconstruction algorithm is pres…