Illya M. Karabash
Illya M. Karabash
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The similarity problem for J-nonnegative Sturm–Liouville operators
IM Karabash, AS Kostenko, MM Malamud
Journal of Differential Equations 246 (3), 964-997, 2009
Indefinite Sturm-Liouville operators (sgn x)(− d2 dx2+ q) with finite-zone potentials
IM Karabash, MM Malamud
Operators and Matrices 1 (3), 301-368, 2007
Bohl–Perron-type stability theorems for linear difference equations with infinite delay
E Braverman, IM Karabash
Journal of Difference Equations and Applications 18 (5), 909-939, 2012
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x
I Karabash, C Trunk
Proc. Roy. Soc. Edinburgh Sect. A 139, 483-503, 2009
Abstract kinetic equations with positive collision operators
IM Karabash
Spectral Theory in Inner Product Spaces and Applications, 175-195, 2008
J-selfadjoint ordinary differential operators similar to selfadjoint operators
IM Karabash
Methods of Functional Analysis and Topology 6 (2), 22-49, 2000
Indefinite Sturm–Liouville operators with the singular critical point zero
I Karabash, A Kostenko
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 138 (04 …, 2008
The similarity of a J-self-adjoint Sturm-Liouville operator with finite-gap potential to a self-adjoint operator
IM Karabash, MM Malamud
Doklady. Mathematics 69 (2), 195-199, 2004
On the nature of ill-posedness of the forward-backward heat equation
M Chugunova, IM Karabash, SG Pyatkov
Integral Equations and Operator Theory 65 (3), 319-344, 2009
Optimization of quasi-normal eigenvalues for 1-D wave equations in inhomogeneous media; description of optimal structures
IM Karabash
Asymptotic Analysis 81 (3), 273-295, 2013
Pareto optimal structures producing resonances of minimal decay under L1-type constraints
IM Karabash
Journal of Differential Equations 257 (2), 374-414, 2014
On similarity of the operators type sgn x“− d2 dx2+ cδ” to a normal or to a selfadjoint one
IM Karabash, AS Kostenko
Math. Notes 74 (1), 134-139, 2003
Resonance free regions and non-Hermitian spectral optimization for Schr\" odinger point interactions
S Albeverio, IM Karabash
arXiv preprint arXiv:1708.01334, 2017
A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators
IM Karabash
Oper. Theory Adv. Appl 203, 247-287, 2010
On similarity of differential operators to selfadjoint ones
IM Karabash
Candidate thesis, The Institute of Applied Mathemtics and Mechanics NASU …, 2005
Similarity of Type Operators to Normal and Self-adjoint Operators
IM Karabash, AS Kostenko
Mathematical Notes 74 (1), 127-131, 2003
On the similarity of a J-nonnegative Sturm-Liouville operator to a self-adjoint operator
IM Karabash, AS Kostenko
Functional Analysis and Its Applications 43 (1), 65-68, 2009
On J-self-adjoint differential operators similar to self-adjoint operators
IM Karabash
Mathematical Notes 68 (5), 798-799, 2000
Nonlinear Bang–Bang Eigenproblems and Optimization of Resonances in Layered Cavities
IM Karabash, OM Logachova, IV Verbytskyi
Integral Equations and Operator Theory 88 (1), 15-44, 2017
Structured stability radii and exponential stability tests for Volterra difference systems
E Braverman, IM Karabash
Computers & Mathematics with Applications 66 (11), 2259-2280, 2013
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