Prof. Dr. Rostyslav O. Hryniv

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations,Stochastics, Probability Theory
Keywordsscattering theory, inverse scattering, singular potentials, discontinouous impedance, Schroedinger operators

Current contact address

CountryUkraine
CityLviv
InstitutionNational Academy of Sciences of Ukraine
InstituteInstitute for Applied Problems of Mechanics and Mathematics - Department of Functional Analysis

Host during sponsorship

Prof. Dr. Sergio AlbeverioAbteilung für Wahrscheinlichkeitstheorie und Statistik, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn
Prof. Dr. Carsten TrunkInstitut für Mathematik, Technische Universität Ilmenau, Ilmenau
Start of initial sponsorship01/11/2003

Programme(s)

2003Humboldt Research Fellowship Programme

Publications (partial selection)

2008Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav Mykytyuk: Reconstruction of radial Dirac and Schrödinger operators from two spectra. In: Journal of Mathematical Analysis and Applications, 2008, 45-57
2007Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Inverse spectral problems for Bessel operators. In: Journal of Differential Equations, 2007, 130-159
2007Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Inverse spectral problems for coupled oscillating systems: Reconstruction from three spectra. In: Meth. Funct. Anal. Topol., 2007, 110-123
2007Sergio Albeverio, Paul Binding, Rostyslav O. Hryniv, Yaroslav Mykytyuk: Inverse spectral problems for coupled oscillating systems. In: Inverse Problems, 2007, 1181-1200
2007Sergio Albeverio, Rostyslav O. Hryniv, Leonid Nizhnik: Inverse spectral problems for non-local Sturm-Liouville operators . In: Inverse Problems, 2007, 523-535
2007Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Reconstruction of radial Dirac operators. In: Journal of Mathematical Physics, 2007, 043501-1-043501-14
2006Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials. In: Journal of Functional Analysis, 2006, 27-57
2006Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale. In: Proceedings of the Edinburgh Mathematical Society, 2006, 309-329
2005Paul Binding, Rostyslav O. Hryniv, Branko Najman: A variational principle in Krein space. II.. In: Integral Equations Operator Theory, 2005, 477-500
2005Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav Mykytyuk: Inverse Spectral Problems for Dirac Operators with Summable Potentials. In: Russian Journal of Mathematical Physics, 2005, 406-423
2005Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Inverse spectral problems for Sturm-Liouville operators in impedance form. In: Journal of Functional Analysis, 2005, 143-177
2005Rostyslav O. Hryniv, Andras Batkai, Paul Binding, Aad Dijksma, Heinz Langer: Spectral problems for operator matrices. In: Mathematische Nachrichten, 2005, 1408-1429
2004Rostyslav O. Hryniv, Andrey A. Shkalikov: Exponential energy decay of solutions of equations corresponding to some operator models in mechanics. In: Functional Analysis and its Applications , 2004, 3-14
2004Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Half-inverse spectral problems for Sturm--Liouville operators with singular potentials. In: Inverse Problems, 2004, 1423-1444
2004Rostyslav O. Hryniv, Yaroslav V. Mykytyuk: Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra. In: V. Kadets, W.Zelazko, Functional Analysis and its Applications. North-Holland Publishing Co. (North-Holland Mathematics Studies, vol. 197), 2004. 97-114