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Users  /  Professor  /  Анікушин Андрій Валерійович   / publications

List of publications

Books

  1. Anikushyn A.V., Granishak H.M., Hulianitskyi A.L., Nomirovskyi D.A. Modeling and Optimization of Process Described by Linear Integro-Differential Equation (in Ukrainian), Kyiv, 2015, pp. 1–134.
  2. A. Anikushyn, V.V. Semenov, Problems in Functional Analysis (in Ukrainian), Kyiv, 2017, pp. 1-64
  3. A. Anikushyn, I.N. Aleksandrovich, O.I. Molodtsov, D.A. Nomirovskyi, B.V. Rublyov, V.V. Semenov, Problems in Mathematical Analysis (in Ukrainian, expected 2017)

Publications

  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)

Conference publications

  1. 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
  2. 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
  3. 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
  4. A. Anikushyn, H. Granishak Analogue of the Galerkin method for one equation of 4th order, 8th International Conference “Numerical and Applied Mathematics”, Kyiv 2015
  5. A. Anikushyn, Weak solvability of generalized heat equation , 7th International Conference “Numerical and Applied Mathematics”, Kyiv 2014
  6. A. Anikushyn, H. Granishak, Generalized solvability of one integro-differential equation of 4th order, 6th International Conference “Numerical and Applied Mathematics”, Kyiv 2013
  7. A. Anikushyn, One result about barrelledness of unitary spaces, International Conference dedicated to 120-th anniversary of Stefan Banach, Lviv 2012
  8. A. Anikushyn, A barrelledness of pre-Hilbert spaces, 5th International Conference “Numerical and Applied Mathematics”, Kyiv 2012
  9. A. Anikushyn, A priori inequalities for integro-differential operators of hyperbolic type, International Conference “Dynamical system modeling and stability investigation”, Kyiv 2011
  10. 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
  11. 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
  12. 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
  13. A. Anikushyn, D. Nomirovskyi, Generalized solutions for linear operators with weakened a priori inequalities, 2nd Ukrainian Mathematical Congress, Kyiv 2009