
- Mathematical theory of optimal control, differential inclusions, complete conflict controllability
- Game problems for discrete systems, Pontryagin’s direct methods
- Game problems for systems of differential-difference equations
- Dynamic games with group of participants, group pursuit, successive pursuit
- Theory of search for moving objects
- Systems of control by spacecrafts and systems of search for sea objects
- Aircraft control systems, soft landing
- Blockchain technology
- Distributed ledger technology
- Decentralized systems
- Cryptography
Journal Papers Accepted
Bihun, J., Liubarshchuk, I.: Clashes avoidance in groups game problem interaction. Theory of optimal solutions, 154-160 (2013)
Liubarshchuk, I.: Differential-Difference Games of Pursuit. Bukovinian mathematical journal, vol. 2, 144-153 (2014)
Liubarshchuk, I., Althöfer, I.: The problem of approach in differential-difference games.I nt J Game Theory (2016) 45: 511-522. doi:10.1007/s00182-015-0467-9
Bihun, J., Liubarshchuk, I., Cherevko, I.: Game Problems for Systems with Variable Delay. Journal of Automation and Information Sciences 48(4),18-31 (2016)
Liubarshchuk, I.: Group Game Problems for Systems with Variable Delay. Cybernetics and Computer Engineering (2016) 185: 48-59
Bihun, J., Liubarshchuk, I., Cherevko, I.: Non-stationary Differential-Difference Games of Neutral Type. Dynamic Games and Applications (2019): 1-9. doi:10.1007/s13235-019-00298-z
Conference Papers
Bihun, J., Liubarshchuk, I.: “Mathematical model of the balance between three branches of government”, Modern Problems of Computational Mathematics and Mathematical Physics: International Conference, Moscow, Russia, Lomonosov Moscow State University, June 16-18, 2009, 396 p.
Liubarshchuk, I.: “Mathematical modeling of epidemics in the network caused by computer viruses”, Thirteenth All Ukrainian (Eighth International) Student Scientific Conference on Applied Mathematics and Informatics SNKPMI – 2010, Lviv, Ukraine, April 22-23, 2010, pp. 63-64.
Liubarshchuk, I.: “Mathematical modeling of the dynamics of the epidemic in terms of the environmental degradation”, Fourteenth All Ukrainian (Ninth International) Student Scientific Conference on Applied Mathematics and Informatics SNKPMI – 2011, Lviv, Ukraine, May 5-6, 2011, pp. 129-130.
Liubarshchuk, I., Bihun, J.: "Collision avoidance in groups game problems ", International summer mathematical school in memoriam V.A. Plotnikov, Odesa, Ukraine, June 15-22, 2013, pp. 41-42.
Liubarshchuk, I.: "Collision avoidance in Differential-Difference Games", IV International Hahn Conference dedicated to the 135th anniversary of Hans Hahn, Chernivtsi, Ukraine, June 30 - July 5, 2014, pp. 101-103.
Liubarshchuk, I.: "The Problem of Approach in Differential-Difference Games", The Doctoral Summer School on Evolutionary Computing in Optimisation and Data Mining(ECODAM), Iasi, Romania, June 18-24, 2015.
Liubarshchuk, I.: "Collision avoidance in non-stationary differential-difference games", International summer mathematical school in memoriam V.A. Plotnikov, Odesa, Ukraine, September 12-17, 2016, pp. 33-34.
Conference Co-Organizer
“Differential equations and their applications in applied mathematics”, Chernivtsi, 2012.
"Applied Problems and IT Technologies", Chernivtsi, Ukraine, 2017.
Ukrainian Association of Dynamic Games
International Society on Dynamic Games
Council of Young Scientists
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Prof. Arkadii Chikrii
Head of the department Optimization of Controlled Processes, Glushkov Cybernetics Institute, National Academy of Sciences of Ukraine, 40 Glushkov Prsp., 03187 Kyiv, Ukraine
Phone: +38 044 266-21-58
Email: chik@insyg.kiev.ua
Prof. Dr. Ingo Althöfer
Friedrich-Schiller-Universitaet Jena Fakultaet fuer Mathematik und Informatik Angewandte Mathematik 07737 Jena Germany
Phone: +49 3641 9 46210
Email: ingo.althoefer@uni-jena.de