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Пользователи  /  Преподаватель  /  Анікушин Андрій Валерійович   / Science

Монографії

Анікушин А.В. Моделювання та потимізація процесів, що описуються лінійними інтегро-диференціальними рівняннями / Анікушин А.В., Гранішак Х.М., Гуляницький А.Л., Номіровський Д.А., Київ, 2015, 134 с.

Підручники, посібники

Анікушин А.В. Збірник задач з функціонального аналізу / Анікушин А.В., Семенов В.В., Київ, ВПЦ "Київський університет", 2017

Публікації

  1. A. Anikushyn, M. Pokojovy Multidimensional Thermoelasticity for Nonsimple Materials – Well-Posedness and Long-Time Behavior, Applicable Analysis, Vol. 96 (2017), pp. 1561–1585
  2. A. Anikushyn, D. Nomirovskyi, Qualitative analysis of linear differential pseudohyperbolic equations in some classes of distributions , Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. and Math. Sciences, No. 2 (2015), pp. 31–36 (in Ukrainian)
  3. A. Anikushyn, On generalized solvability of the one integro-differential equation, J. Num. and App. Math., No. 2 (2014), pp. 25–32 (in Ukrainian)
  4. A. Anikushyn, A. Hulianytskyi Generalized solvability of parabolic integro-differential equations, Differential Equations, Vol. 50 (2014), pp. 98–109
  5. A. Anikushyn, Generalized optimal control for systems described by linear integro-differential equations with nonnegative definite integral operators, Journal of Automation and Information Sciences, Vol. 46 (2014), pp. 58–67
  6. A. Anikushyn, Generalized solvability of linear hyperbolic integro-differential equation, Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. and Math. Sciences, No. 4 (2013), pp. 60–65 (in Ukrainian)
  7. A. Anikushyn, A barrelledness of pre-Hilbert spaces, J. Num. and App. Math., No. 4(2012), pp. 51–55 (in Ukrainian)
  8. A. Anikushyn, D. Nomirovskyi, Generalized solutions for linear operators with weakened a priori inequalities, Ukrainian Mathematical Journal, Vol. 62 (2011), pp. 1175–1186
  9. A. Anikushyn, On relations between the a priori inequalities and the weak a priori inequalities, J. Num. and App. Math., No. 4 (2010), pp. 3–8 (in Ukrainian)
  10. A. Anikushyn, Optimal control for parabolic-like integro-differential system, J. Num. and App. Math., No. 3(2010), pp. 3–16 (in Ukrainian)
  11. A. Anikushyn, Generalized solvability of linear elliptic-like integro-differential equation, Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. and Math. Sciences, No. 3 (2010), pp. 163–168 (in Ukrainian)
  12. A. Anikushyn, D. Nomirovskyi, Trajectory and final controllability of hyperbolic systems for some classes of distributions , Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. and Math. Sciences, No. 3 (2008), pp. 119–114 (in Ukrainian)
  13. A. Anikushyn, Characteristics of generalized solutions of linear operator equations in Banach spaces, Bulletin of Taras Shevchenko National University of Kyiv. Series: Phys. and Math. Sciences, No. 4 (2006), pp. 137–144 (in Ukrainian)

 

Нагороди і відзнаки

  1. Грамота НАН України за цикл робіт "Якісний аналіз і чисельні методи для систем з пам'яттю", 2018

 

Участь у наукових школах, воркшопах

  1. Advanced School & Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability, The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, May-June, 2017
  2. Oberwolfach Seminar: Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, November, 2016
  3. Summer School on Wave Phenomena: Analysis and Numerics, Karlsruhe Institute of Technology, Karlsruhe, Germany, September, 2016
  4. School and Workshop “PDEs and applications”, University of Naples “Federico II”, Naples, Italy, February, 2016

 

Виступи на наукових семінарах

  1. Maxwell’s Equations under a Nonlinear Boundary Feedback with Delay: Well-Posedness and Long-time Behavior, The University of Texas at El Paso, TX, USA, March, 2018
  2. Global Well-Posedness and Exponential Stability for Heterogeneous Anisotropic Maxwell’s Equations under a Nonlinear Boundary Feedback with Delay, Karlsruhe Institute of Technology, Germany, November, 2017
  3. Multidimensional thermoelastic system for nonsimple materials: Well-posedness andlong-time behavior, Karlsruhe Institute of Technology, Germany, November, 2016
  4. Generalized solvability of linear integro-differential equations, University of Konstanz, Germany, February, 2015
  5. Optimal control for systems which are described by linear integro-differential equations, National Technical University of Ukraine Kiev Polytechnic Institute, Ukraine, October, 2011
  6. Numerical methods for optimization and modelling of processes which are described by linear integro-differential equations, Taras Shevchenko National University of Kiev, Ukraine, April, 2011

Дослідницькі візити

  1. The University of L'Aquila, Italy, September, 2019
  2. The University of Texas at El Paso, USA, January-Ferbruary, 2019
  3. The University of Texas at El Paso, USA, January-March, 2018
  4. Karlsruhe Institute of Technology, Germany, July, November, 2016
  5. Charles University in Prague, Chech Republic, January-February, 2016
  6. University of Konstanz, Germany, January-March, 2015

 

Виступи на конференціях

  1. A. Anikushyn, H. Hranishak, On a weak solvability of a hyperbolyc integro-differential equation, International Conferece "Modern Problems of Mathematical Modeling, Computational Methods and Information Technologies", Rivne 2018
  2. A. Anikushyn, L. Kosteeva, A priory estimations and generalized solutions for a class of partial integro-differential equations, International Conference on Differential Equations, Mathematical Physics and Applications (DEMPhA-2017), Cherkasy 2017
  3. A. Anikushyn, Well-Posedness of multidimensional thermoelastic system for nonsimple materials, 5th International Conference for Young Scientists on Differential Equations and Applications dedicated to Ya. B. Lopatynsky, Kyiv 2016
  4. A. Anikushyn, H. Granishak, On a weak solvability of a hyperbolic integro-differential equation, 5th International Conference for Young Scientists on Differential Equations and Applications dedicated to Ya. B. Lopatynsky, Kyiv 2016
  5. A. Anikushyn, Weak solvability and optimal control for a class of partial integro-differential equations, International Conference on Differential Equations Dedicated to the 110th Anniversary of Ya. B.Lopatinsky, Lviv 2016
  6. A. Anikushyn, H. Granishak Analogue of the Galerkin method for one equation of 4th order, 8th International Conference “Numerical and Applied Mathematics”, Kyiv 2015
  7. A. Anikushyn, Weak solvability of generalized heat equation , 7th International Conference “Numerical and Applied Mathematics”, Kyiv 2014
  8. A. Anikushyn, H. Granishak, Generalized solvability of one integro-differential equation of 4th order, 6th International Conference “Numerical and Applied Mathematics”, Kyiv 2013
  9. A. Anikushyn, One result about barrelledness of unitary spaces, International Conference dedicated to 120-th anniversary of Stefan Banach, Lviv 2012
  10. A. Anikushyn, A barrelledness of pre-Hilbert spaces, 5th International Conference “Numerical and Applied Mathematics”, Kyiv 2012
  11. A. Anikushyn, A priori inequalities for integro-differential operators of hyperbolic type, International Conference “Dynamical system modeling and stability investigation”, Kyiv 2011
  12. A. Anikushyn, Analogue of the Galerkin method for linear integro-differential equations with non-negative  integral operators, 4th International Conference “Numerical and Applied Mathematics”, Kyiv 2011
  13. A. Anikushyn, On relation between a priori and weak a priori inequalities for linear operators, International Conference on Functional Analysis dedicated to the 90-th anniversary of V.E. Lyantse, Lviv 2010
  14. A. Anikushyn, D. Nomirovskyi, Generalized Optimal Control for Systems Described by Linear integro-Differential Equations with Nonnegative Definite Integral Operators, International Conference “Differential equations and applications”, Lviv 2010
  15. A. Anikushyn, D. Nomirovskyi, Generalized solutions for linear operators with weakened a priori inequalities, 2nd Ukrainian Mathematical Congress, Kyiv 2009