Yuriy D. Golovaty
Yuriy D. Golovaty
Associate Professor, Dept. of Differential Equations, Ivan Franko National University of Lviv
Verified email at lnu.edu.ua
Title
Cited by
Cited by
Year
Solvable models for the Schrödinger operators with δ′-like potentials
YD Golovaty, SS Man’ko
Ukrainian Mathematical Bulletin 6 (2), 169-203, 2009
62*2009
On norm resolvent convergence of Schrödinger operators with δ'-like potentials
YD Golovaty, RO Hryniv
Journal of Physics A: Mathematical and Theoretical 43 (15), 155204, 2010
542010
Schroedinger operators with (αδ´+βδ)-like potentials: norm resolvent convergence and solvable models
Y Golovaty
Methods Funct. Anal. Topology 18 (3), 243-255, 2012
442012
Norm resolvent convergence of singularly scaled Schrödinger operators and δ′-potentials
Y Golovaty, R Hryniv
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143 (04 …, 2013
372013
Spectral properties of oscillatory systems with attached masses
YD Golovatyĭ
Tr. Mosk. Mat. Obshch. (Trans. Moscow Math. Soc., 1993) 54, 29-72, 1992
36*1992
1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials
Y Golovaty
Integral Equations and Operator Theory 75 (3), 341-362, 2013
352013
Natural oscillations of a string with an additional mass
YD Golovaty, SA Nazarov, OA Oleinik, TS Soboleva
Sibirsk. Mat. Zh 29 (5), 71-91, 1988
35*1988
On vibrating membranes with very heavy thin inclusions
YD Golovaty, D Gomez, M Lobo, E Perez
Mathematical Models and Methods in Applied Sciences 14 (07), 987-1034, 2004
342004
Asymptotic expansions of eigenvalues and eigenfunctions in problems on oscillations of a medium with concentrated perturbations
YD Golovatyj, SA Nazarov, OA Oleinik
Trudy Matematicheskogo Instituta imeni VA Steklova 192, 42-60, 1990
241990
Asymptotic expansions of local eigenvibrations for plate with density perturbed in neighbourhood of one-dimensional manifold
YD Golovaty, AS Lavrenyuk
Mat. Stud 13 (1), 51-62, 2000
142000
Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions
Y Golovaty, D Gómez, M Lobo, E Pérez
Comptes Rendus Mecanique 330 (11), 777-782, 2002
132002
The asymptotic behaviour of eigenvalues and eigenfunctions in problems on vibrations of a medium with singular perturbation of the density
YD Golovatyj, SA Nazarov, OA Oleinik
Uspekhi Matematicheskikh Nauk 43 (5), 189-190, 1988
13*1988
Schrödinger operator with δ′-potential
Y Golovaty, S Man’ko
Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 5, 16-21, 2009
11*2009
Schrödinger Operators with Singular Rank-Two Perturbations and Point Interactions
Y Golovaty
Integral Equations and Operator Theory 90 (5, Paper No.57), 24, 2018
102018
Low and high frequency approximations to eigenvibrations of string with double contrasts
N Babych, Y Golovaty
Journal of Computational and Applied Mathematics 234, 1860-1867, 2010
92010
Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts
N Babych, Y Golovaty
arXiv preprint arXiv:0712.0754, 2007
82007
The spectral Neumann problem for the Laplace operator with a singularly perturbed density
YD Golovatyj
Uspekhi Matematicheskikh Nauk 45 (4), 147-148, 1990
8*1990
On the eigenvibrations and eigenfrequencies of an elastic rod with adjoined mass
YD Golovaty
Uspekhi Mat. Nauk 43 (4), 173-174, 1988
8*1988
Two-parametric-interactions: approximation by Schrödinger operators with localized rank-two perturbations
Y Golovaty
Journal of Physics A: Mathematical and Theoretical 51 (25), 255202, 2018
72018
On WKB asymptotic expansions of high frequency vibrations in stiff problems
Y Golovaty, N Babych
Equadiff 99: (In 2 Volumes), 103-105, 2000
72000
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Articles 1–20