Volodymyr Khrabustovskyi

Position: Associate Professor

Science degree, academic title: Candidate of Physical and Mathematical Sciences, Associate Professor

Year of birth:

Education:

In 1970, he graduated with honors from the Faculty of Mechanics and Mathematics of Kharkiv State University named after O. M. Gorky, majoring in Mathematics.

Candidate of Physical and Mathematical Sciences (1976). He defended his dissertation at the Academic Council of the B. I. Verkin Institute for Low Temperature Physics and Engineering of the Academy of Sciences of the Ukrainian SSR in the field 01.01.01 — Function Theory and Functional Analysis. Dissertation title: “Problems of Spectral Theory and Stability of Solutions of Systems of Differential Equations and Their Perturbations.” Scientific supervisor — F. S. Rofe-Beketov, Candidate of Physical and Mathematical Sciences, Senior Researcher.

Scientific activity direction:

Spectral theory of differential operators.

Main courses taught: Higher Mathematics; Probability Theory and Mathematical Statistics; Differential Equations.

Author:

more than 100 scientific publications and educational and methodological materials.

Awards and diplomas:

Featured publications:

1. Khrabustovskii, V.I. The discrete spectrum of perturbed differential operators of arbitrary order with periodic matrix coefficients. Math. Notes 21, 467-472 (1977).
2. Khrabustovskii, V.I. The spectral matrix of a periodic symmetric system whith a degenerate weight on the axis, Teor. Funktsii Functional. Anali Prilozten. 35, 1981, 111-119 (Russian).
3. Khrabustovskii, V.I. Spectral analysis of periodic systems with degenerate weight on the axis and the semiaxis. J. Sov. Math. 48(3), 345-355 (1990)
4. Khrabustovskii, V.I. Spectral analysis of periodic systems with degenerate weight (expansions in Bloch solutions). J. Sov. Math. 48(5), 598-607 (1990).
5. Khrabustovskii, V.I. On a characteristic matrix of Weyl-Titchmarsh type for differential-operator equations which the spectral contains parameter in linear or in a Nevanlinnas manner. Mat. Fiz. Anal. Geom. 10(2), 205-227 (2003).
6. Khrabustovsky, V.I. On the characteristic operators and projections and on the solutions of Weyl type of dissipative and accumulative operator systems. I : General case. Jh. Mat. Phys. Anal. Geom. 2(2), 149-175 (2006); II: Abstract theory. ibid. 2(3), 299-317 (2006); III: Separated boundary conditions. Ibid. 2(4), 449-473 (2006).
7. Khrabustovskyi, V.I. On the limit of regular dissipative and self-adjoint boundary value problems with nonseparated boundary conditions when an interval stretches to the semiaxis. Jh. Mat. Phys. Anal. Geom. 5(1), 54-81 (2009).
8. Khrabustovskyi, V.I. Expansion in eigenfunctions of relations generated by pair of operator differential expressions. Methods Funct. Anal. Topol. 15(2), 137-151 (2009).
9. Khrabustovskyi, V.I. Analogos of generalized resolvents for relations by pair of differential operator expessions one of which depends on spectral parameter in nonlinear manner, J. Math. Phys. Anal. Geom.vol 9, no 4, 2013, 496-535.
10. Khrabustovskyi, V.I. Eigenfunction expansions associated with operator differentional equation depending on spectral parameter nonlinearly. Methods Funct.Anal. Topology, vol 20, no.1, 2014, pp.68-91.
11. Могульський Э.З., Храбустовський В.І., Бородай Г.П. Вступ до лінійної алгебри та аналітичної геометрії.–Навч. посібник.–Харків: Укр.ДАЗТ, 2007. – 128с.
12. Могульський Є.З., Храбустовський В.І., Бородай Г.П. Теорія ймовірностей і математична статистика: Навчальний посібник.- Харків: УкрДУЗТ, 2016. –366 с.
13. Храбустовський В. І. Диференціальні рівняння : навчальний посібник. Частина 1. Загальна теорія / В. І. Храбустовський, О. А. Осмаєв, О. В. Рибачук. – Харків: УкрДУЗТ, 2024. – 194 с.
14. Храбустовський В. І. Диференціальні рівняння : навчальний посібник. Частина 2. Спеціальні розділи / В. І. Храбустовський, О. А. Осмаєв, О. В. Рибачук. – Харків: УкрДУЗТ, 2025. – 306 с.