Hryniv Rostyslav

Education: Lomonosov Moscow State University (Speciality: Mathematics, 1993)

Scientific degree: PhD (1996, Lomonosov Moscow State University)

Position: Senior researcher

Fields of interest:

Selected publications:

  1. R. Hryniv and Ya. Mykytyuk, On the first trace formula for Schr\"odinger operators, J. Spectral Theory 11 (2021), no. 2, 489–507.
  2. R. Hryniv, B. Melnyk, and Ya. Mykytyuk, Inverse scattering for reflectionless Schr\"odinger operators with integrable potentials and generalized soliton solutions for the KdV equation, Annles Henri Poincar\'e 223 (2021) (2), 487–527.
  3. Hryniv, R.O., Manko, S.S., Inverse scattering on the half-line for energy-dependent Schrodinger equations, Inverse Problems, 36 (2020), no. 9, id.095002
  4. M.Homa and R.Hryniv, Spectra of PT-symmetric operators under rank-one perturbations, Journal of Physics A: Mathematical and Theoretical 53(2020), no. 37, id. 375202
  5. Albeverio, S., Hryniv, R., Mykytyuk, Y. Inverse scattering for impedance Schrodinger operators, I. Step-like impedance lattice // J. Math. Anal. Appl. – 2018. – 458, No. 1. – P. 71–92. –https://doi.org/10.1016/j.jmaa.2017.07.068.
  6. R. Hryniv and Ya. Mykytyuk, Eigenvalue asymptotics for Dirac–Bessel operators, J. Math. Phys. 57 (2016), id. 063507 (20pp).
  7. R. Hryniv and S. Manko, Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials, Integral Equat. Operator Theory 84 (2016), no. 3, 323–355.
  8. S. Albeverio, R. Hryniv, Ya. Mykytyuk, and P. Perry, Inverse scattering for non-classical impedance Schrodinger operators, Operator Theory: Advances and Applications, 227 (2013), 1–42.
  9. R. Hryniv and Ya. V. Mykytyuk, Self-adjointness of Schrodinger operators with singular potentials, Meth. Funct. Anal. Topol. 18 (2012), no. 2, 152–159.
  10. R. Hryniv and N. Pronska, Inverse spectral problems for energy-dependent Sturm–Liouville equations, Inverse Problems 28 (2012), id. 085008 (21pp).
  11. R. Hryniv, Z. T. Nazarchuk and A.T. Synyavskyy, Inverse transmission problem for plane electromagnetic wave normally incident through a layered dielectric structure, Radiophys. Radioastron. 16 (2011), no. 3, 269–281 (in Ukrainian); Engl. transl.: Radio Phys. Radio Astron., 3 (2012), 33–44.
  12. R.O. Hryniv, Analyticity and uniform stability of the inverse spectral problem for Dirac operators, J. Math. Physics 52 (2011), 063523 (17pp.)
  13. R.O. Hryniv, Analyticity and uniform stability of the inverse singular Sturm-Liouville spectral problem, Inverse Problems 27 (2011), 065011 (25pp.)
  14. R.O. Hryniv, Ya.V. Mykytyuk, and P. Perry, Inverse scattering on the line for Schrodinger operators with Miura potentials, II. Different Riccati representatives, Comm. Part. Diff. Equat. 36 (2011), no. 9, 1587-1623.
  15. R.O. Hryniv, Ya.V. Mykytyuk, and P. Perry, Sobolev mapping properties of the scattering transform for the Schrodinger equation, Contemp. Math. 535 (2011), 79-93. Yu. Golovaty and R. Hryniv, On norm resolvent convergence of Schrodinger operators with delta'-like potentials J. Physics A: Mathematics, Theor., 43 (2010), no. 15, 155204 (14 pp)
  16. C.Frayer, R.O.Hryniv, Ya.V.Mykytyuk, and P.Perry, Inverse scattering for Schrodinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems, Inverse Problems 25 (2009), no. 11, 115007 (25 pp).
  17. C.Frayer, R.O.Hryniv, Ya.V.Mykytyuk, and P.Perry, Inverse scattering for Schrodinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems, Inverse Problems 25 (2009), no. 11, 115007 (25 pp).
  18. S.Albeverio, R.O.Hryniv, and Ya.V.Mykytyuk, On spectra of non-self-adjoint Sturm-Liouville operators, Selecta Math. (N.S.) 13 (2008), 571-599.
  19. R.O.Hryniv and Ya.V.Mykytyuk, Inverse spectral problems for Sturm-Liouville operators with singular potentials, Inverse Problems 19 (2003), 665-684.
  20. Ð.Î.Ãðèíèâ è À.À.Øêàëèêîâ. Ýêñïîíåíöèàëüíîå óáûâàíèå ýíåðãèè ðåøåíèé óðàâíåíèé, ñâÿçàííûõ ñ íåêîòîðûìè ìîäåëÿìè ìåõàíèêè. Ôóíêö. àíàëèç è åãî ïðèë. - 2004. - Ò. 38, ¹ 3. - Ñ. 163-172.

Phone: (032) 261-18-89

E-mail: rhryniv –at –iapmm.lviv.ua