The head of the department is Huliaiev Valerii Ivanovych, Doctor of Technical Sciences, Professor, laureate of the State Prize of Ukraine in the field of science and technology, Honored scientist of Ukraine.

History of the department: the department was created in 1944 and the first head was academician M.O. Lavrentiev. After the transfer of Academician M.O. Lavrentiev to Moscow until 1952, the heads of the department were professor V. A. Zmorovych, I. I. Hikhman, corresponding member of the Academy of Sciences of the Ukrainian SSR and professor M.I. Bilyk. From 1952 to 1972, the department was headed by professor B.V. Krukovsky, who worked at the department since 1949.

From 1972 to 1989, the department was headed by Doctor of Technical Sciences, professor O. F. Riabov, who began working at the department in 1959 as an assistant lecturer and during his work defended candidate’s (1960) and doctoral (1970) theses.

Since 1989, Doctor of Physical and Mathematical Sciences, professor V.M. Shurenkov, a remarkable specialist in the field of ergodic theory of random processes, was the head of the department.

Since 1994, the department has been headed by Doctor of Technical Sciences, Professor V. I. Huliaiev.

One of the most reputable teachers of the department was senior lecturer I.M. Holperin, who had worked there for 45 years from the day the department was established. A famous mathematician, an excellent methodologist, who devoted a lot of time to teaching methods and scientific work in the field of the theory of functions of a complex variable.

From 1974 to 1978, associate professors of the department V.H. Dehtiar, B.M. Zhyrnov, R.Ya. Maidaniuk were working abroad, training national specialists of Algeria.

Professor V.M. Shurenkov made scientific reports at conferences in Switzerland and Finland. Professor V.I. Huliaiev was repeatedly invited to conduct research abroad (Great Britain, France, Germany, Italy, USA).

Teachers of the department prof. V.I. Huliaiev, Assoc. V.G. Dehtiar were distinquished with ‘Excellence in Education of Ukraine’ award.

Currently, the department is comprised of 11 members of academic staff, including 2 Doctors of Technical Sciences, 9 PhDs, and 1 engineer.


The Academic Staff of the Department:

Valerii Ivanovych Huliaiev – Head of the Department, Doctor of Technical Sciences, Professor;

Yuliia Anatoliivna Meish – Doctor of Technical Sciences, Professor;

Olena Ivanivna Bilobrytska – PhD in Engineering, Associate Professor;

Oksana Volodymyrivna Vyshenska–PhD in Physical and Mathematical Sciences, Associate Professor;

Iryna Valentynivna Horbunovych – PhD in Engineering, Associate Professor;

Yuliia Oleksandrivna Zaiets – PhD in Engineering; Associate Professor;

Liudmila Volodymyrivna Levkivska – PhD in Engineering; Associate Professor;

Ihor Leonidovych Soloviov – PhD in Engineering; Associate Professor;

Serhii Mykolaiovych Khudolii – PhD in Engineering; Associate Professor;

Liudmila Volodymyrivna Shevchuk – PhD in Engineering; Associate Professor;

Nataliia Volodymyrivna Shliun – PhD in Engineering; Associate Professor;

Lidiia Petrivna Lepekha – department engineer.

The department provides training for full-time and distance learning students of different university faculties.

Main disciplines:

  1. Higher mathematics.
  2. Higher and applied mathematics.
  3. Linear algebra and analytic geometry.
  4. Mathematical analysis.
  5. Applied mathematics.
  6. Probability theory and mathematical statistics.
  7. Probability theory, probabilistic processes and mathematical statistics.
  8. Preparatory courses in mathematics.

Main research areas: different problems of mechanics such as shell oscillation processes during rotation, electric-elastic oscillations, hydromechanics of ground waters, Van-der-Paul physical model investigation in excited oscillations, and others.

Professor V.I. Huliaiev made a significant contribution to the department’s scientific activity by having supervised the research work of three Doctors of Science and fifty-eight PhDs among whom there were specialists for Nigeria, China, Oman, Lebanon, Algeria, Togo, Iraq, Vietnam.

 Currently the department’s scientific work is done in the following areas:

  • non-classical and classical theory of complex form shells;
  • dynamic processes stability in non-linear mechanic systems;
  • celestial mechanics and space flight mechanics;
  • dynamics of robotic systems;
  • thin rotors dynamics during complicated rotation;
  • tectonic environment seismicity;
  • drill strings mechanics in super-deep wells;
  • thermal stressed and deformed conditions of heterogeneous constructions of road and bridge surface materials.

In 2015–2017 the work as a part of the state budget theme №38 “Emergency modes computer forecasting and prevention during directional and horizontal wells drilling at the design and penetration stages” was carried out at the department. The aim of the project was to create mathematic models and computer software for modelling of drill string running technological operations as well as drilling operations for emergency modes forecasting and further prevention at the design and penetration stages in directional and horizontal oil and gas wells of slate rock and marine areas.

In 2016–2018 the work as a part of the state budget theme №42 “Scientific basis of thermomechanical processes forecasting in multi-layer area (on the example of road surface to assess the resources of its durability improvement” was carried out.

 In years 2019-2020 the work as a part of the state budget theme №53 “Mathematic modelling of stress-strain conditions of road wear with temperature seams and cracks” was carried out.

The work as a part of the state budget theme №60 “Researching the incompatibility impact of thermomechanical parameters of materials used in road and bridge surface for their thermo durability” is being carried out in 2022-2023.

Teachers of the department encourage students who take part in scientific conferences held in University to carry out research projects. In their scientific work the department members maintain close relations with the institutes of the National Academy of Sciences of Ukraine – the Institute of Mathematics, the Institute of Mechanics, the Institute of Cybernetic and special departments of other universities.

Academic, teaching and guiding works:

(since the foundation of the department the teachers have published more than 700 scientific, teaching and guiding works, 21 monographs)

  1. Huliaiev, V.I., Mozgovyi, V.V., Shevchuk, L.V., Bilobrytska, O.I  On Thermomechanical Effects in Elastic Media with Reinforcing Rods (Fibers) // Strength of Materials,  2022, 54(2), pp. 199–209. (Scopus).
  2. Huliaiev, V.I., Mozgovyi, V.V., Shliun, N.V., Shevchuk, L.V., Bilobrytska, O.I. Negative Thermomechanical Effects in Granular Composites with Incompatible Thermomechanical Parameters of Their Components // International Review of Mechanical Engineering, 2022, 16(4), pp. 188–197. (Scopus).
  3. Huliaiev V.I., Mozgovyi V.V., Shliun N.V., Shevchuk L.V. Modelling negative thermomechanical effects in reinforced road structures with thermoelastic incompatibility of coating and reinforcement materials. System Research and Information Technologies. 2022. 2022(2), pp.117-127.  DOI: 10.20535/SRIT.2308-8893.2022.2.09 (Scopus).
  4. Haidaichuk V.V., Shliun N.V., Shevchuk L.V., Bilobrytska O.І. Theoretical modelling of the effect of thermal delamination of an asphalt concrete pavement from a rigid foundation of a road or bridge // Strength of Materials and Theory of Structures: Scientific-and-technical collected articles – Kyiv: KNUBA, 2022 (WOS).
  5. Huliaiev, V.I.Haidaichuk, V.V.Hustieliev, O.O.Shevchuk, L.V. Thermal Stress State of Layered and Inhomogeneous Pavement. International Applied Mechanics, 2021, 57(1), стр. 86–96 https://rdcu.be/ckww1 (Scopus).
  6. Shliun, N.V., Huliaiev, V.I. (2020) Buckling of a drill-string in two-sectional bore-holes.  International Journal of Mechanical Sciences. 172, 105427. https://doi.org/10.1016/j.ijmecsci.2020.105427 (Scopus).
  7. Haidaichuk, V.V.Mozgovyi, V.V.Zaiets, Y.O. Certain Mechanisms of Thermostress Field Variations in Layered Pavement Structures. Strength of Materials, 2020, 52(6), Р. 930–938 https://link.springer.com/article/10.1007/s11223-021-00246-6 (Scopus).
  8.  Meish V.F.,  Meish Yu. A., Maiborodina N. V.  & Herasymenko V. P. Dynamic Behavior of Ellipsoidal Sandwich Shells Under Nonstationary Loads // International Applied Mechanics, volume 58, P.170–179 (2022) https://doi.org/10.1007/s10778-022-01144-3 (Scopus).
  9. Meish, V.F.Meish, Y.A.Kornienko, V.F.Storozhuk, E.A. Solution of Dynamic Problems for Elliptical Cylindrical Shells Under Distributed Impulsive Loads // International Applied Mechanicsthis link is disabled, 2022, 58(3), Р. 320–326 https://doi.org/10.1007/s10778-022-01157-y (Scopus).

Scientific staff training:

In 2016 Professor Y.A. Meish defended a dissertation to obtain a doctoral degree in Engineering Sciences.

At the department there is a post-graduate course where future teachers and scientific specialists of a higher category are trained. The head of the post-graduate course is Professor V.I. Hyliaiev.

The teachers of the department Y.A. Zaiets, L.V. Shevchuk, N.V. Shliun defended dissertations in 2015, 2016, 2017.

Currently Associate Professor L.V. Shevchuk is working on a doctoral dissertation.

Address:  Offices 502, 510, 42 Boichuka Str., 01103 Kyiv, Ukraine

Telephone:  +38(044) 280-71-09

E-mail: math.kafedra.ntu@gmail.com


International Cooperation