Yuriy Golovaty / Юрій Головатий
Yuriy Golovaty / Юрій Головатий
Ivan Franko National University of Lviv
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Solvable models for the Schrödinger operators with δ′-like potentials
YD Golovaty, SS Man’ko
Ukrainian Mathematical Bulletin 6 (2), 169-203, 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
Schroedinger operators with (αδ´+βδ)-like potentials: norm resolvent convergence and solvable models
Y Golovaty
Methods Funct. Anal. Topology 18 (3), 243-255, 2012
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
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
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
Spectral properties of oscillatory systems with attached masses
YD Golovatyĭ
Tr. Mosk. Mat. Obshch. (Trans. Moscow Math. Soc., 1993) 54, 29-72, 1992
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
Asymptotic expansions of eigenvalues and eigenfunctions in problems on oscillations of a medium with concentrated perturbations
YD Golovatyi, SA Nazarov, OA Oleinik
Proceedings of the Steklov Institute of Mathematics, 43, 1992
Schrödinger Operators with Singular Rank-Two Perturbations and Point Interactions
Y Golovaty
Integral Equations and Operator Theory 90 (5, Paper No.57), 24, 2018
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
Schrödinger operator with δ′-potential
Y Golovaty, S Man’ko
Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 5, 16-21, 2009
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
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
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
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
Асимптотические разложения собственных значений и собственных функций задач о колебаниях среды с концентрированными возмущениями
ЮД Головатый, СА Назаров, ОА Олейник
Труды Математического института имени ВА Стеклова 192 (0), 42-60, 1990
On the characteristic frequencies of a clamped plate with adjoined mass
YD Golovatyi
Russian Mathematical Surveys 43 (5), 227, 1988
Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts
N Babych, Y Golovaty
arXiv preprint arXiv:0712.0754, 2007
Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations
Y Golovaty, A Marciniak-Czochra, M Ptashnyk
Communications on Pure and Applied Analysis 11 (1), 229 - 241, 2012
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