Scientific activity

Research topics

  • Completely non-linear partial differential equations
  • Probabilistic approaches in solving boundary value problems for non-linear parabolic equations and systems
  • Stability and vibrations in non-linear control systems
  • History of mathematics.

Selected publications

Belopolskaya Ya. Probabilistic representation of a generalized solution to the Cauchy problem for a PDE system with cross-diffusion // Doklady Mathematics. – 2015. – Vol.91. – Iss.2. – P. 134-137

Mikhailov A.E. Estimates of convergence rates to stable distributions on //Journal of mathematical sciences. – 2015. – Vol. 206. – No. 2. – P. 207-211

Ivochkina N.M., Filimonenkova N.V. Attractors of m-Hessian evolutions // Journal of Mathematical Sciences. – 2015. – Vol. 207. – Iss. 2. – P. 226-235

Belopolskaya Y.A. Forward-Backward Stochastic Equations Associatid with Systems of Quasilinear Parabolic Equations and Comparison Theorems // Journal of Mathematical Sciences (United States). – 2014. – Vol.204. – Iss.1. – P. 7-27

Belopolskaya Y.A. Markov Processes Associatid With Fully Nondiagonal Systems of Parabolic Equations // Markov processes and relacted filds. – 2014. – V. 20. – N 3. – P. 451-478

Belopolskaya Y.A. Probabilistic counterparts for strongly coupled parabolic systems // Springer Proceedings in Mathematics and Statistics. – 2014. – Vol.114. – P. 33-42

Kozyrev S.V., Khrennikov A.Y., Shelkovich V.M. p-Adic wavelets and their applications // Proceedings of the Steklov Institute of Mathematics. – 2014. – Vol. 285. – Iss.1. – P. 157-196

Smirnova V.B., Proskurnikov A.V., Utina N.V. Problems of Cycle-slipping for Infinite Dimensional systems with MIMO Nonlinearities// Proceedings of 6-th International Congress on Ultra Modern Telecommunications and Control Systems (ICUMT). S. Petersburg, 7-10 October 2014. – S. Petersburg, 2014 – P. 590-595. – URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=7002167&searchWithin%3Dp_First_Names%3AVera%26searchWithin%3Dp_Last_Names%3ASmirnova%26sortType%3Ddesc_p_Publication_Year%26matchBoolean%3Dtrue%26queryText%3D%28p_Authors%3ASmirnova%2C+Vera%29(дата обращения: 08.11.2015)

Smirnova V.B. Conditions for the absence of cycles of the second kind in continuous and discrete systems with cylindrical phase space / V. B. Smirnova, A. A. Perkin, N. V. Utina, A. I. Shepeljavyi // Vestnik of St. Petersburg University: Mathematics. – 2014. – Vol.47. – Iss. 3. – P. 105-114

Smirnova V.B., Proskurnikov A.V., Perkin A.A. Asymptotic Estimates for Gradient–Like Distributed Parameter Systems with Periodic Nonlinearities // Proceeding of International Symposium of Intellectual Control (ISIC), Part of 2014 IEEE Multy – Conference on Systems and Control. 8-10 October 2014. – Antibes, 2014. – P. 1638-1643. – URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6967632&searchWithin%3Dp_Authors%3A.QT.Smirnova%2C+Vera.QT.%26sortType%3Ddesc_p_Publication_Year (дата обращения: 08.11.2015)

Filimonenkova N.V., Ivochkina N.M. On algebraic and geometric conditions in the theory of Hessian equations // Journal of Fixed Point Theory and Applications. – 2014. – Vol. 16. – Iss. 1-2. – P 11–25

Ivochkina N.M. On some properties of the positive m-Hessian operators in C^2(Omega) // Journal of Fixed Point Theory and Applications. – 2014. – Vol. 14. – No.1. – P. 79-90

Ivochkina N.M. From Gårding’s Cones to p -Convex Hypersurfaces // Journal of Mathematical Sciences. – 2014. – Vol. 201. – No. 5. – P. 634-644

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