mathematical physics, classical and quantum electrodynamics, differential equations
Main publications:
V. G. Bagrov, D. M. Gitman, A. Levin, V. B. Tlyachev, “Aharonov–Bohm effect in cyclotron and synchrotron. radiations”, Nucl. Physics, 605 (2001), 425-454
A. D. Ushkho, V. B. Tlyachev, D. S. Ushkho, “On an exact estimate of the number of real invariant lines of polynomial vector fields of degree $n$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 225 (2023), 123–133
2021
2.
V. B. Tlyachev, A. D. Ushkho, D. S. Ushkho, “On periodic solutions of Rayleigh equation”, Izv. Saratov Univ. Math. Mech. Inform., 21:2 (2021), 173–181
2018
3.
M. M. Shumafov, V. B. Tlyachev, “Construction of Lyapunov Functions for Second-Order Linear Stochastic Stationary Systems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 149 (2018), 118–128; J. Math. Sci. (N. Y.), 250:5 (2020), 835–846
V. B. Tlyachev, A. D. Ushkho, D. S. Ushkho, “An estimate from above of the number of invariant straight lines of $n$-th degree polynomial vector field”, Izv. Saratov Univ. Math. Mech. Inform., 15:2 (2015), 171–179
2010
5.
V. B. Tlyachev, A. D. Ushkho, D. S. Ushkho, “Symmetry axes of planar polynomial differential systems”, Izv. Saratov Univ. Math. Mech. Inform., 10:2 (2010), 41–49