| Solvable models for the Schrödinger operators with δ′-like potentials YD Golovaty, SS Man’ko Ukrainian Mathematical Bulletin 6 (2), 169-203, 2009 | 75* | 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 | 66 | 2010 |
| 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 | 45 | 2013 |
| Schroedinger operators with (αδ´+βδ)-like potentials: norm resolvent convergence and solvable models Y Golovaty Methods Funct. Anal. Topology 18 (3), 243-255, 2012 | 45 | 2012 |
| 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 | 44 | 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 | 42* | 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 | 38 | 2004 |
| Spectral properties of oscillatory systems with attached masses YD Golovatyĭ Tr. Mosk. Mat. Obshch. (Trans. Moscow Math. Soc., 1993) 54, 29-72, 1992 | 37* | 1992 |
| 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 | 26 | 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 | 14 | 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 | 14 | 2000 |
| 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 | 13 | 2002 |
| 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 | 12 | 2018 |
| The asymptotic behaviour of eigenvalues and eigenfunctions in problems on vibrations of a medium with singular perturbation of the density YD Golovatyi, SA Nazarov, OA Oleinik Russian Mathematical Surveys 43 (5), 229, 1988 | 12* | 1988 |
| 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 | 11 | 2010 |
| 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 |
| 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 | 11 | 1990 |
| Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts N Babych, Y Golovaty arXiv preprint arXiv:0712.0754, 2007 | 10 | 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 | 8 | 2012 |
| The spectral Neumann problem for the Laplace operator with a singularly perturbed density YD Golovatyi Russian Mathematical Surveys 45 (4), 165, 1990 | 8* | 1990 |
Rostyslav O. HrynivUkrainian Catholic UniversityVerified email at ucu.edu.ua
