Denys Ya. Khusainov
Professor

Information

Position: Professor
Degree: Doctor of Physical and Mathematical Science
Title: Professor
Room: 404
Phone:
E-mail:
Research interests: проблеми стійкості, керованості та оптимізації динамічних систем, що описуються диференціальними рівняннями, різницевими рівняннями та функціонально-диференціальними рівняннями

Academic awards:

Нагороджений ювілейною срібною медаллю, Чехія, 1999
Нагороджений ювілейною срібною медаллю, Чехія, 2006

Courses:

Differential equations

Publications:

  1. Khusainov D.Ya., Bastinec J., Diblik J. Exponential stability of perturbed linear discrete systems // Advances in Difference Equations, Springer Verlag, 2016. - Vol. 2016, issue 1, December 2016, Article number 2, DOI: 10.1186/s13662-015-0738-6. - pp. 1 - 20. (ISSN 16871839)
  2. Khusainov D.Ya., Shaturko A. On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect // Scientific World Journal, 2016. Volume 2016 (2016), Article ID 6490826, 8 pages.
  3. Khusainov D.Ya., Marttynyk A.A., Chernienko V.A. Integral estimates of solutions to nonlinear systems and their applications // Nonlinear Dynamics and Systems Theory, InforMath Publishing Group, 2016. - Volume 2016, issue 1. - pp. 1 - 11. (ISSN 1562 - 8353)
  4. Khusainov D.Y., Bastinec J., Diblik J., Sirenko A.S. Exponential stability of linear systems with contant coefficients and single delay // Applied Mathematics Letters, Elsevier, 2016. - Volume 51, January 2016. - pp. 68 - 73.
  5. Shatyrko A.V., Khusainov D.Ya. The qualitative analysis of Lur'e-type control systems with uncertainty conditions // XXVIII International Conference "Problem of decision making under uncertainties" (PDMU-2016). Abstr. Brno. Czech Republic, 2016. - P. 103 - 104.
  6. Khusainov D.Ya., Sirenko A. Stability investigation of a nonlinear network models describing the dynamics of neural networks // "Mathematica. informacni technologie a aplicovane vedy" (MITAV-2015): тези доповідей, 18 - 19 червня 2015 р., Brno, Czech Republic. - Brno, 2015. - P. 47.
  7. Khusainov D.Ya., Pokojovy M., Racke R. Linear Heat Equation with Delay: 1LL - Posedness VS. Well-Posedness and Long-Time Behavior // Thesis of International XVII Conference "Dynamical systems modeling and investigation. Modeling and stability" May 27-29, Kyiv, 2015. - С. 20.
  8. Khusainov D.Ya., Pokojvy M. Solving the Linear 1D Thermoelasticity Equations with Pure Delay // International Journal of Mathematics and Mathematics Sciences. Vol.2015. Article ID 479267, 11 pages, Recived 27 Oktober 2014, Accepted 03 January 2015, 44 - 54 p.
  9. Shatyrko A., R. van Nooijen, Kolechkina A., Khysainov D.Ya. Stabilization of Neutral Type Indirect Control Systems to Absolute Stability State // Advances in Difference Equations, 2015. 2015.64 DOI 10.11.86/S 13662-015-0405-y.
  10. D.Ya Khysainov, Diblik J., Bastinec J., Sirenko A.S. Stability and exponential stability of linear discrete systems with constant coefficients and single delay // Applied Mathematics and Conputation, Volume 269, 15 Oktober 2015. - pp. 9 - 16. DOI: 10.1016/j.amc 2015.07.037.
  11. Bastinec J., Diblik J., Khusainov D., Sirenko A. Stability and convergence of linear discrete systems with delay // Conference of Differential and Difference Equations and Applications, Abstracts, Jasna, Slovak Republik, June 23-27, 2014. - pp. 9.
  12. Khusainov D., Bastinec J., Demchenko H. Heat equation with delay optimal control // Conference of Differential and Difference Equations and Applications, Abstracts, Jasna, Slovak Republik, June 23 - 27, 2014. - pp.30 - 31.
  13. Bastinec J., Demchenko H., Khusainov D. Ytat process optimal control // Сonference MITAV-2014, Klub University obrany v Brne, Czekh Republik, 19 - 20 cervna, 2014. - pp. 7.
  14. Khusainov D.Ya., Azizbekov E.I. Representation of Solutions to a Linear Wave Equation with a Constant Delay in Boht Lower and Higherst Order Terms // Mathematics and ICT application sphere. New training technologies. Conference. Ganca Dovlat University, Azerbajan, Part 1, June 05-06, 2014. - pp. 34 - 38.
  15. Khusainov D. Construction on Exect Control for a One Dimensional Heat Equation with Delay // 10-th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Joly 7 -11, 2014, Universidad de Madrid, Spain. - рр. 513.
  16. Khusainov D.Ya., Pokojovy M., Azizbekov E.I. Construction of Exact Control fpr a One- Dimansional Equation with Constant Delay // Журнал обчислювальної та прикладної математики, 2014, № 1 (115). - C.76 - 87.
  17. Khusainov D.Ya., Shatyrko O.A., Dzhalladova I.A. Modelling processes of popolation dynamics // Вісник Київського університету. // Сер.: Кібернетика. - 2014. - Вип. 1. - С. 101 - 106.
  18. Khusainov D., Kukharenko O., Diblik J. Representation of the Solution for Linear System of Delay Equations with Distributed Parameters // Nonlinear Dynamics and Systems Theory, 12(3), 2012. - P. 251 - 268.
  19. Khusainov D., Svoboda Z., Diblik J. Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay // Abstract and Applied Analysis, Volume 2012 (2012), - Article ID 219040, - 27 pages. - doi:10.1155/2012/219040.
  20. Shatyrko A.V., Khusainov D.Ya.,Diblik J., Bastinec J., Rivolova A. Estimates of perturbation of nonlinear indirect interval control system of neutral type // Journal of automation and information science. - 2011, Vol. 43, Iss.7, P. 61-75.
  21. Diblik J., Khusainov D.Ya., Grytsay I. V., Zmarda Z. Stability of Nonlinear Autonomous Quadratic Discrete Systens in the Critical Case // Hindawi Publishing Corporation. Discrete Dynamics in Nature and Societe 2010, Article ID 539087, 23 pages. doi:10.1155/2010/539087.