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Publications in Math-Net.Ru
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On multidimensional exact solutions of the nonlinear diffusion equation of the pantograph type with variable delay
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 34:3 (2024), 359–374
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On the integrability and stability of stationary solutions of the Goryachev—Sretensky gyrostat
Sib. Zh. Ind. Mat., 26:3 (2023), 56–72
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On multidimensional exact solutions of a nonlinear reaction–diffusion system
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023), 225–239
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New exact solutions of the diffusion equation with power nonlinearity
Sibirsk. Mat. Zh., 63:6 (2022), 1290–1307
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On the Movement of Gyrostat under the Action of Potential and Gyroscopic Forces
Zhurnal SVMO, 24:1 (2022), 66–75
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On the existence of periodic solutions of a fourth-order nonlinear system of parabolic equations
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196 (2021), 98–104
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On the stability of coupled nonlinear oscillators
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196 (2021), 44–49
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On exact multidimensional solutions to a nonlinear system of fourth-order hyperbolic equations
Sib. Zh. Ind. Mat., 24:2 (2021), 77–86
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On maintaining the stability of the equilibrium of nonlinear oscillators under conservative perturbations
Zhurnal SVMO, 23:3 (2021), 285–294
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On exact solutions of equations of rotational motion of a rigid body under action of torque of circular-gyroscopic forces
Zhurnal SVMO, 23:2 (2021), 159–170
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Anisotropic solutions of a nonlinear kinetic model of elliptic type
Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020), 48–57
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On the asymptotic stability of homogeneous singular systems with switching
Avtomat. i Telemekh., 2019, no. 3, 45–54
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Multidimensional exact solutions of a system of nonlinear Boussinesq type equations
Bulletin of Irkutsk State University. Series Mathematics, 30 (2019), 114–124
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On exact multidimensional solutions of a nonlinear system of first order partial differential equations
Bulletin of Irkutsk State University. Series Mathematics, 28 (2019), 53–68
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Lambert function and exact solutions of nonlinear parabolic equations
Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 8, 13–20
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Exact solutions of the nonlinear diffusion equation
Sibirsk. Mat. Zh., 60:1 (2019), 123–140
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Review of the works of V. N. Shchennikova on the study of the convergence of nonlinear almost periodic systems by the comparison method
Zhurnal SVMO, 21:2 (2019), 175–186
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Construction of exact solutions and analysis of stability of complex systems by reduction to ordinary differential equations with power nonlinearities
Zhurnal SVMO, 21:1 (2019), 60–69
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On periodic solutions of a nonlinear reaction-diffusion system
Bulletin of Irkutsk State University. Series Mathematics, 26 (2018), 35–46
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On analytic periodic solutions to nonlinear differential equations with a delay (advancing)
Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 10, 34–42
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On the existence and construction of common Lyapunov functions for switched discrete systems
Sib. Zh. Ind. Mat., 21:4 (2018), 75–85
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First integrals and periodic solutions of a system with power nonlinearities
Sib. Zh. Ind. Mat., 21:1 (2018), 47–60
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First integrals and exact solutions of a system of ordinary differential equations with power nonlinearity
Bulletin of Irkutsk State University. Series Mathematics, 20 (2017), 45–60
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Multidimensional exact solutions to the reaction-diffusion system with power-law nonlinear terms
Sibirsk. Mat. Zh., 58:4 (2017), 796–812
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Exact solutions of a class of nonlinear elliptic systems of a special type
Bulletin of Irkutsk State University. Series Mathematics, 11 (2015), 69–79
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Exact radially-symmetric solutions of a class of nonlinear elliptic systems of equations
Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 12, 43–54
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Investigation of convergence of large scale almost periodic systems by means of comparison vector functions with components as forms of even degrees
Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 25–35
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Constructing solutions to systems of nonlinear equations for magnetic insulation modelling
Sib. Zh. Ind. Mat., 18:1 (2015), 69–83
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Analysis of stability and stabilization of nonlinear systems via decomposition
Sibirsk. Mat. Zh., 56:6 (2015), 1215–1233
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Multidimensional exact solutions of a nonlinear system of two parabolic equations
Sibirsk. Mat. Zh., 56:4 (2015), 805–820
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Multidimensional Exact Solutions of a Class of Elliptic Systems
Bulletin of Irkutsk State University. Series Mathematics, 9 (2014), 49–60
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Stabilization of Nonlinear Mechanical Systems with Partial Measurement of the Generalized Coordinates
Bulletin of Irkutsk State University. Series Mathematics, 7 (2014), 34–45
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Integrable models of magnetic insulation and their exact radially symmetric solutions
Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 45–56
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On stability of gyroscopic systems
Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 2, 3–13
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Construction of the first integrals for a special class of nonlinear systems
Bulletin of Irkutsk State University. Series Mathematics, 5:1 (2012), 57–69
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On asymptotic stability of mechanical systems with nonstationary leading parameter under dissipative forces
Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 2, 97–109
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Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms
Avtomat. i Telemekh., 2011, no. 6, 27–47
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Stability and stabilization of mechanical systems with switching
Avtomat. i Telemekh., 2011, no. 6, 5–17
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On the preservation of instability of mechanical systems under the evolution of dissipative forces
Bulletin of Irkutsk State University. Series Mathematics, 4:3 (2011), 3–19
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On stability and stabilization of mechanical systems with nonlinear energy sinks
Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2011, no. 1, 106–115
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О $D$-устойчивости и аддитивной $D$-устойчивости матриц и свикобианов
Sib. Zh. Ind. Mat., 12:2 (2009), 65–78
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Gyroscopic stabilization of nonlinear and
non-conservative systems
Trudy SVMO, 11:2 (2009), 100–105
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About a class of systems preserving the stability property at negative feedbacks
Avtomat. i Telemekh., 2008, no. 5, 31–40
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On the gyroscopic stabilization of nonconservative systems
Sib. Zh. Ind. Mat., 9:3 (2006), 80–89
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Stabilization of nonautonomous potential systems by forces of another structure
Sib. Zh. Ind. Mat., 8:2 (2005), 116–123
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On the stability of complex systems with respect to nonlinear approximation
Differ. Uravn., 33:10 (1997), 1432–1434
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The global stability of nonautonomous systems. II
Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 8, 33–42
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On the global stability of nonautonomous systems. I
Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 7, 28–35
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On the stable dynamics of strategic weapons of a “multipolar world”
Dokl. Akad. Nauk, 346:4 (1996), 462–464
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On military strategic equilibrium in a multipolar world
Dokl. Akad. Nauk, 346:2 (1996), 172–175
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In memory of Vladimir Nikolaevich Shchennikov
Zhurnal SVMO, 21:2 (2019), 269–273
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To the 70th anniversary of professor V. F. Chistyakov
Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018), 169–176
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