Prof. Dr. Rostyslav O. Hryniv

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietAnalysis, Differentialgleichungen,Stochastik, Wahrscheinlichkeitstheorie
Keywordsscattering theory, inverse scattering, singular potentials, discontinouous impedance, Schroedinger operators

Aktuelle Kontaktadresse

LandUkraine
OrtLviv
Universität/InstitutionNational Academy of Sciences of Ukraine
Institut/AbteilungInstitute for Applied Problems of Mechanics and Mathematics - Department of Functional Analysis

Gastgeber*innen während der Förderung

Prof. Dr. Sergio AlbeverioAbteilung für Wahrscheinlichkeitstheorie und Statistik, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn
Prof. Dr. Carsten TrunkInstitut für Mathematik, Technische Universität Ilmenau, Ilmenau
Beginn der ersten Förderung01.11.2003

Programm(e)

2003Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

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