dr hab., prof. UR Rostyslav Hryniv

Informacje

Publikacje

• (with Yu. Golovaty and S. Lavrynenko) Transmission resonances in scattering by δ′-like combs. Journal of Physics A: Mathematical and Theoretical, 58 (2025), Art. No. 275304.
  [DOI: 10.1088/1751-8121/ade7da]
• (with Yu. Golovaty) On negative eigenvalues of 1D Schrödinger operators with δ′-like potentials. Frontiers in Applied Mathematics and Statistics, 11 (2025), 1615447.
  [DOI: 10.3389/fams.2025.1615447]
• (with O. Dobosevych) Trace formula for differential operators with frozen argument. Applied Mathematics Letters, 159 (2025), 109270.
  [DOI: 10.1016/j.aml.2024.109270]
• (with O. Dobosevych) Reconstruction of differential operators with frozen argument. Axioms 11 (2022) no. 1, art. no. 24 (13 pp.).
  [DOI: 10.3390/axioms11010024]
• (with Ya. Mykytyuk) On traces of Schrödinger operators. J. Spectral Theory 11 (2021), no. 2, 489–507.
  [DOI: 10.4171/JST/348]
• (with Y Lochman, O Dobosevych, and J Pritts) Minimal solvers for single-view lens-distorted camera auto-calibration. Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision, 2021, 2887–2896.
  [DOI: 10.1109/WACV48630.2021.00293]
• (with O. Dobosevych) Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators. Integr. Equat. Oper. Theory 93 (2021) no. 2, art. no. 18 (16 pp.).
  [DOI: 10.1007/s00020-021-02630-y]
• (with B. Melnyk and Ya. Mykytyuk) Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation. Ann. Henri Poincare 22 (2021), 487–527.
  [DOI: 10.1007/s00023-020-01000-5]
• (with O. Dobosevych) Spectra of rank-one perturbations of self-adjoint operators. Linear Algebra Appl. 609 (2021), no. 2, 339–364.
  [DOI: 10.1016/j.laa.2020.09.027]
• (with M. Homa) Spectra of PT-symmetric operators under rank-one perturbations. J. Phys. A 53 (2020), no. 37, id. 375202 (15 pp.).
  [DOI: 10.1088/1751-8121/aba8d1]
• (with S. Manko) Inverse scattering for Schrödinger operators with energy-dependent potentials. Inverse Problems 36 (2020), no. 9, id. 095002 (15 pp.).
  [DOI: 10.1088/1361-6420/aba416]
• (with M. Homa) Oscillation properties of singular quantum trees. Symmetry 12 (2020), id. 1266 (21 pp.).
  [DOI: 10.3390/sym12081266]
• (with S. Albeverio and Ya. Mykytyuk) Inverse scattering for impedance Schrödinger operators, I. Step-like impedance lattice. J. Math. Anal. Appl. 458 (2018), no. 1, 71–92.
  [DOI: 10.1016/j.jmaa.2017.07.068]
• (with Ya. Mykytyuk) Eigenvalue asymptotics for Dirac–Bessel operators. J. Math. Phys. 57 (2016), id. 063507 (20pp).
  [DOI: 10.1063/1.4953245]
• (with 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.
  [DOI: 10.1007/s00020-015-2269-7]
• (with M. Homa) Comparison and oscillation theorems for singular Sturm-Liouville operators. Opuscula Mathematica 34 (2014), 97–113.
  [DOI: 10.7494/OpMath.2014.34.1.97]
• (with Yu. Golovaty) Norm resolvent convergence of singularly scaled Schrödinger operators and δ′-potentials. Proc. Royal Soc. Edinb. 143A (2013), 791–816.
  [DOI: 10.1017/S0308210512000194]
• (with S. Albeverio, Ya. Mykytyuk, and P. Perry) Inverse scattering for non-classical impedance Schrödinger operators. Operator Theory: Advances and Applications, 227 (2013), 1–42.
  [DOI: 10.1007/978-3-0348-0531-5_1]
• (with Z. T. Nazarchuk and A.T. Synyavskyy) Reconstruction of the impedance Schrödinger equation from the modulus of the reflection coefficients. Wave Motion 49 (2012) 719–736.
  [DOI: 10.1016/j.wavemoti.2012.04.004]
• (with Ya. V. Mykytyuk) Self-adjointness of Schrödinger operators with singular potentials. Meth. Funct. Anal. Topol. 18 (2012), no. 2, 152–159.
  [Link: MFAT]
• (with N. Pronska) Inverse spectral problems for energy-dependent Sturm–Liouville equations. Inverse Problems 28 (2012), id. 085008 (21pp).
  [DOI: 10.1088/0266-5611/28/8/085008]
• (with S. Albeverio and Ya. Mykytyuk) Scattering theory for Schrödinger operators with Bessel-type potentials. J. reine angew. Math. 666 (2012), 83–113.
  [DOI: 10.1515/crelle-2011-0038]
• (with Z. T. Nazarchuk and A.T. Synyavskyy) Inverse transmission problem for plane electromagnetic wave normally incident through a layered dielectric structure. Radio Phys. Radio Astron., 3 (2012), 33–44.
  [DOI: 10.1615/RadioPhysicsRadioAstronomy.v3.i1.40]
• (with S. Albeverio and Ya. Mykytyuk) Inverse scattering for discontinuous impedance Schrödinger operators: A model example. J. Phys. A: Math. Theor. 44 (2011), id. 345204 (8pp).
  [DOI: 10.1088/1751-8113/44/34/345204]
• (with Ya. V. Mykytyuk and P. Perry) Inverse scattering problems for Schrödinger operators with Miura potentials: II. Different Riccati representatives. Comm. Partial Diff. Equat. 36 (2011), no. 9, 1587–1623.
  [DOI: 10.1080/03605302.2011.595568]
• Uniform stability in the inverse spectral problems for Dirac operators. J. Math. Phys. 52 (2011), id. 063513 (17pp).
  [DOI: 10.1063/1.3600535]
• Analyticity and uniform stability in the inverse singular Sturm–Liouville spectral problem. Inverse Problems 27 (2011), no. 065011 (25pp).
  [DOI: 10.1088/0266-5611/27/6/065011]
• (with Ya. V. Mykytyuk and P. Perry) Sobolev mapping properties of the scattering transform for the Schrödinger equation. Contemporary Mathematics 535 (2011), 79–93.
  [DOI: 10.1090/conm/535/10534]
• (with P. Sacks) Numerical solution of the inverse spectral problem for Bessel operators. J. Comp. Appl. Math. 235 (2010), no. 1, 120–136.
  [DOI: 10.1016/j.cam.2010.05.022]
• Hryniv, R. Uniformly bounded families of Riesz bases of exponentials, sines, and cosines. Mathem. Notes 87 (2010), no. 4, 510–520.
  [DOI: 10.1134/S000143461003028X]
• (with Yu. D. Golovaty) On norm resolvent convergence of Schrödinger operators with δ′-like potentials. J. Phys. A: Math. Theor. 43 (2010), no. 15, 155204 (14pp).
  [DOI: 10.1088/1751-8113/43/15/155204]
• Analyticity and uniform stability in the inverse spectral problem for impedance Sturm– Liouville operators. Carpat. Math. Publ. 2 (2010), no. 1, 35–58.
  [Link: Carpat. Math. Publ.]
• (with C. Frayer, Ya. V. Mykytyuk, and P. Perry) Inverse scattering for Schrödinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems. Inverse Problems 25 (2009) no. 11, 115007 (25pp).
  [DOI: 10.1088/0266-5611/25/11/115007]
• (with Ya. V. Mykytyuk) On zeros of some entire functions. Transactions AMS 361 (2009), no. 4, 2207–2223.
  [DOI: 10.1090/S0002-9947-08-04618-2]
• (with S. Albeverio and Ya. Mykytyuk) Factorisation of non-negative operators and inverse spectral problems for Bessel operators. Integr. Equat. Oper. Theory 64 (2009), no. 3, 301–323.
  [DOI: 10.1007/s00020-009-1688-6]
• (with S. Albeverio and Ya. V. Mykytyuk) On spectra of non-self-adjoint Sturm–Liouville operators. Selecta Math. (N.S.) 13 (2008), 571–599.
  [DOI: 10.1007/s00029-008-0052-1]
• (with S. Albeverio and Ya. V. Mykytyuk) Reconstruction of radial Dirac and Schrödinger operators from two spectra. J. Math. Anal. Appl. 339 (2008), no. 1, 45–57.
  [DOI: 10.1016/j.jmaa.2007.06.014]
• (with S. Albeverio and Ya. V. Mykytyuk) Inverse spectral problems for Bessel operators. J. Diff. Equat. 241 (2007), no. 1, 130–159.
  [DOI: 10.1016/j.jde.2007.07.003]
• (with S. Albeverio, P. Binding, and Ya. V. Mykytyuk) Inverse spectral problems for coupled oscillating systems. Inverse Problems 23 (2007), 1181–1200.
  [DOI: 10.1088/0266-5611/23/3/019]
• (with S. Albeverio and Ya. V. Mykytyuk) Reconstruction of radial Dirac operators. J. Math. Phys. 48 (2007), no. 4, 043501 (14 p.).
  [DOI: 10.1063/1.2712423]
• (with S. Albeverio and Ya. V. Mykytyuk) Inverse spectral problems for coupled oscillating systems: Reconstruction from three spectra. Meth. Funct. Anal. Topol. 13 (2007), no. 2, 110–123.
  [Link: MFAT]
• (with S. Albeverio and L. P. Nizhnik) Inverse spectral problems for non-local Sturm– Liouville operators. Inverse Problems 23 (2007), 523–535.
  [DOI: 10.1088/0266-5611/23/2/006]
• (with Ya. V. Mykytyuk) Eigenvalue asymptotics for Sturm–Liouville operators with singular potentials. J. Funct. Anal. 238 (2006), no. 1, 27–57.
  [DOI: 10.1016/j.jfa.2006.04.017]
• (with Ya. V. Mykytyuk) Inverse spectral problems for Sturm–Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale. Proc. Edinb. Math. Soc. 49 (2006), no. 2, 309–329.
  [DOI: 10.1017/S001309150400057X]
• (with P. Binding) A variational principle for linear pencils of forms. Oper. Theory: Adv. Appl. 162, 71–83, Birkhäuser Verlag, Basel, 2006.
  [DOI: 10.1007/3-7643-7340-7_5]
• (with S. Albeverio and Ya. V. Mykytyuk) Inverse spectral problems for Sturm–Liouville operators in impedance form. J. Funct. Anal. 222 (2005), 143–177.
  [DOI: 10.1016/j.jfa.2004.07.013]
• (with A. Batkai, P. Binding, A. Dijksma, and H. Langer) Spectral problems for operator matrices. Math. Nachrichten 278 (2005), no. 12–13, 1408–1429.
  [DOI: 10.1002/mana.200410313]
• (with S. Albeverio and Ya. V. Mykytyuk) Inverse spectral problems for Dirac operators with summable potentials. Russian J. Math. Phys. 12 (2005) no. 4, 406–423.
• (with P. Binding and B. Najman) A variational principle in Krein space II. Integr. Equat. Oper. Theory 51 (2005), 477–500.
  [DOI: 10.1007/s00020-003-1282-3]
• (with A. A. Shkalikov) Exponential decay of solution energy for equations associated with some operator models of mechanics. Funct. Anal. Appl. 38 (2004) no. 3, 163–172.
  [DOI: 10.1023/B:FAIA.0000042797.90422.3d]
• (with Ya. V. Mykytyuk) Half-inverse problems for Sturm–Liouville operators with singular potentials. Inverse Problems 20 (2004), 1423–1444.
  [DOI: 10.1088/0266-5611/20/5/006]
• (with Ya. V. Mykytyuk) Inverse spectral problems for Sturm–Liouville operators with singular potentials, II. Reconstruction by two spectra. Functional Analysis and its Applications, North-Holland Mathematics Studies 197, 97–114, 2004.
  [DOI: 10.1016/S0304-0208(04)80008-0]
• (with Ya. V. Mykytyuk) Transformation operators for Sturm–Liouville operators with singular potentials. Math. Phys. Anal. Geom. 7 (2004), no. 2, 119–149.
  [DOI: 10.1023/B:MPAG.0000028479.23126.96]
• (with Ya. V. Mykytyuk) Inverse spectral problems for Sturm–Liouville operators with singular potentials, III. Reconstruction by three spectra. J. Math. Anal. Appl. 284 (2003), no. 2, 626–646.
  [DOI: 10.1016/S0022-247X(03)00366-0]
• (with A. A. Shkalikov) Exponential stability of semigroups associated with some operator models in mechanics. Math. Notes 73 (2003), no. 5, 618–624 (English transl.).
  [DOI: 10.1023/A:1024097405230]
• (with Ya. V. Mykytyuk) Inverse spectral problems for Sturm–Liouville operators with singular potentials. Inverse Problems 19 (2003), 665–684.
  [DOI: 10.1088/0266-5611/19/3/314]
• (with I. Kmit) On a nonclassical problem for some quasilinear hyperbolic equation. Nonlinear Anal. 51 (2002), 1405-1419.
  [DOI: 10.1016/S0362-546X(01)00880-9]
• (with Ya. V. Mykytyuk) 1D Schrödinger operators with singular Gordon potentials. Meth. Funct. Anal. Topol. 8 (2002), no. 1, 36–48.
  [Link: MFAT]
• (with A. A. Shkalikov and A. A. Vladimirov) Spectral analysis of periodic differential operator matrices of mixed order. Trans. Moscow Math. Soc. 63 (2002), 195–233.
  [Link: MathNet]
• (with P. Binding) Half- and full-range completeness. Operator Theory: Advances and Applications, vol. 130, Birkhäuser, Basel, 2002, 121–133.
  [DOI: 10.1007/978-3-0348-8205-7_7]
• (with Ya. V. Mykytyuk) 1D Schrödinger operators with singular periodic potentials. Meth. Funct. Anal. Topol. 7 (2001), no. 4, 31–42.
  [Link: MFAT]
• (with P. Binding, H. Langer, and B. Najman) Elliptic eigenvalue problems with eigenparameter dependent boundary conditions. J. Diff. Equat. 174 (2001), no. 1, 30–54.
  [DOI: 10.1006/jdeq.2000.3905]
• (with P. Lancaster) Stabilization of gyroscopic systems. ZAMM 81 (2001), no. 10, 675–681.
  [DOI: 10.1002/1521-4001]
• (with Ya. V. Mykytyuk) Similarity of perturbed multiplication operators. Math. Notes 70 (2001), no. 1, 38–45.
  [DOI: 10.1023/A:1010620306161]
• (with P. Binding) Elliptic spectral problems of higher order with eigenparameter dependent boundary conditions. Operator Theory: Advances and Applications, Vol. 124, 2001, 145-153.
  [DOI: 10.1007/978-3-0348-8287-3_9]
• (with S. Yu. Dobrokhotov and A. A. Shkalikov) Operator model of the problem of liquid oscillation on elastic ground. Math. Notes 68 (2000), no. 1, 66–81.
  [DOI: 10.1007/BF02676646]
• (with A. A. Shkalikov and A. A. Vladimirov) Differential operator matrices with periodic coefficients of mixed order. Operator Theory: Advances and Applications 117 (2000), 155–164.
  [DOI: 10.1007/978-3-0348-8422-8_13]
• (with P. Binding) Relative boundedness and relative compactness for linear operators in Banach spaces. Proc. Amer. Math. Soc. 128 (2000), 2287–2290.
  [DOI: 10.1090/S0002-9939-00-05307-8]