- Hrmander spaces, interpolation, and elliptic problems
VA Mikhailets, AA Murach
Walter de Gruyter GmbH & Co KG 2014
Citations: 126
- The refined Sobolev scale, interpolation and elliptic problems
VA Mikhailets, AA Murach
Banach Journal of Mathematical Analysis 6 (2), 211-281 2012
Citations: 101
- Improved scales of spaces and elliptic boundary-value problems. II
VA Mikhailets, AA Murach
Ukrainian Mathematical Journal 58 (3), 398-417 2006
Citations: 80
- Interpolation with a function parameter and refined scale of spaces
VA Mikhailets, AA Murach
Methods Funct. Anal. Topology 14 (1), 81-100 2007
Citations: 73
- Interpolation Hilbert spaces between Sobolev spaces
VA Mikhailets, AA Murach
Results in Math. 67 (1-2), 135-152 2011
Citations: 62
- Regularization of singular Sturm-Liouville equations
A Goriunov, V Mikhailets
Methods Funct. Anal. Topology 16 (2), 120-130 2010
Citations: 62
- Elliptic boundary-value problem in a two-sided improved scale of spaces
VA Mikhailets, AA Murach
Ukrainian Mathematical Journal 60 (4), 574-597 2008
Citations: 56
- Limit theorems for one-dimensional boundary-value problems
TI Kodlyuk, VA Mikhailets, NV Reva
Ukrainian Mathematical Journal 65, 77-90 2013
Citations: 49
- Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
VA Mikhailets, AA Murach
Ukrainian Mathematical Journal 58 (11), 1748-1767 2006
Citations: 49
- Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces
TI Kodliuk, VA Mikhailets
Journal of Mathematical Sciences 190 (4), 589-599 2013
Citations: 48
- Formally self-adjoint quasi-differential operators and boundary value problems
A Goriunov, V Mikhailets, K Pankrashkin
Electron. J. Differential Equations 2013 (101), 1-16 2012
Citations: 47
- Fredholm boundary-value problems with parameter in Sobolev spaces
EV Gnyp, TI Kodlyuk, VA Mikhailets
Ukrainian Mathematical Journal 67, 658-667 2015
Citations: 44
- Limit theorems for general one-dimensional boundary-value problems
VA Mikhailets, GA Chekhanova
Journal of Mathematical Sciences 204, 333-342 2015
Citations: 42
- Extended Sobolev scale and elliptic operators
VA Mikhailets, AA Murach
Ukrainian Mathematical Journal 65 (3), 435-447 2013
Citations: 41
- Resolvent convergence of Sturm-Liouville operators with singular potentials
A Goriunov, V Mikhailets
arXiv preprint arXiv:1001.4160 2010
Citations: 40
- Continuity in a parameter of solutions to generic boundary-value problems
VA Mikhailets, AA Murach, V Soldatov
arXiv preprint arXiv:1604.07029 2016
Citations: 39
- Regularization of two-term differential equations with singular coefficients by quasiderivatives
AS Goryunov, VA Mikhailets
Ukrainian Mathematical Journal 63 (9), 1361-1378 2012
Citations: 39
- One-dimensional Schr\" odinger operators with singular periodic potentials
V Mikhailets, V Molyboga
Methods Funct. Anal. Topology 14 (2), 184-200 2008
Citations: 38
- Elliptic operators in the improved scale of functional spaces
VA Mikhailets, AA Murach
Ukr. Mat. Zh. 57 (5), 689-696 2005
Citations: 38
- Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces
Y Hnyp, V Mikhailets, A Murach
arXiv preprint arXiv:1704.03774 2017
Citations: 37