Subject:

spectral optimization, resonances, nonlinear and nonselfadjoint spectral theory, evolution PDE, stability of discrete systems, signal processing

Main publications:

1. Karabash I.M., “Pareto optimal structures producing resonances of minimal decay under L1-type constraints”, Journal of Differential Equations, 257:2 (2014), 374-414.
2. Karabash I., “Optimization of quasi-normal eigenvalues for 1-D wave equations in inhomogeneous media; description of optimal structures”, Asymptotic Analysis, 81:3–4 (2013), 273-295
3. Karabash I., “Optimization of quasi-normal eigenvalues for Krein-Nudelman strings”, Integral Equations and Operator Theory, 75:2 (2013), 235-247
4. Karabash I., “Nonlinear eigenvalue problem for optimal resonances in optical cavities”, Math. Model. Nat. Phenom., 8:1 (2013), 143-155.
5. Karabash I., Kostenko A., Malamud M., “The similarity problem for J-nonnegative Sturm-Liouville operators”, J. Differential Equations, 246 (2009), 964–997, arXiv: 0803.1496v2    

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Institute of Applied Mathematics and Mechanics, Donetsk
• National Academy of Sciences of Ukraine