On the Stability of Solitons for the Maxwell-Lorentz equations with rotating particle, Milan Journal of Mathematics 91 (2023),155-173.

On the Hamilton-Poisson structure and solitons for the Maxwell- Lorentz equations with spinning particle, J. Math. Anal. Appl 522 (2023), no. 2, 126976.

Scattering properties and dispersion estimates for a one-dimensional discrete Dirac equation. Mathematische Nachrichten 295 (2022), no. 44, 762-784.

Global attractor for 3D Dirac equation with nonlinear point interaction, Nonlin- ear Differential Equations and Applications 29 (2022), no. 3, 1-44.

On global attractors for 2D damped driven non- linear Schr ̈odinger equations. Applicable Analysis 101 (2022), no. 15, 5490-5503.

Klein-Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves. Nonlinearity 35 (2022), no. 7, 3593-3629.

On dispersive estimates for one-dimensional Klein-Gordon equations, Asymptotic Analysis. 127 (2022) n. 1-2, 1-13.

Attractors of Hamiltonian Nonlinear Partial Differential Equations, 2021, Cambridge University Press. 200 pp. (Cambridge tracts in mathematics).

On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator, Comm. Pure Appl. Anal., 20 (2021), no. 6, 2187-2209.

Attractors of Hamilton nonlinear partial differential equation, Russian Math. Surveys, 75 (2020), no. 1, 1--87.

Global attractor for 1D Dirac field coupled to nonlinear oscillator, Comm. Math. Physics, 375 (2020), 573-603.

On global attractor of 3D Klein-Gordon equation with several concentrated nonlinearities, Dynamics of PDEs, 16 (2019), no. 2, 105-124.

On dispersion decay for 3D Klein-Gordon equation, Discrete and Continuous Dynamical Systems-A, 38 (2018) no. 11. 5765-5780.

On the dispersion decay for crystals in the linearized Schr\"odinger--Poisson model, J. Math. Anal. Appl., 464 (2018), no.1, 864--882.

On global attraction to stationary states for wave equations with concentrated nonlinearities, J. Dynamics and Differential Equations., 30, (2018), no. 1, pp 107--116.

On orbital stability of ground states for finite crystals in fermionic Schroedinger-Poisson model. SIAM J. Math. Anal., 50 (2018), no. 1, 64--85.

On global attractors and radiation damping for nonrelativistic particle coupled to scalar field, St. Petersburg Math. J., 29 (2018), no.2, 249--266.

On global attraction to solitary waves for the Klein -Gordon equation with concentrated nonlinearity, Nonlinearity, 30 (2017), no. 11, 4191-4207.

On stability of ground states for finite crystals in the Schroedinger-Poisson model. J. Math. Phys., 58 (2017), no. 3, 031902, 18 pp.

On the linear stability of crystals in the Schroedinger-Poisson model. J. Stat. Phys., 165 (2016), no. 2, 246-273.

On the dispersion estimates for the one-dimensional Schroedinger and Klein-Gordon equations. Revizited. Russian Math. Surveys, 71 (2016), no. (429), 391-415.

On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. J. Math. Anal. Appl., 443 (2016), no. 2, 1142-1157.

Asymptotic stability of stationary states in wave equation coupled to nonrelativistic particle, Russ. J. Math. Phys., 23 (2016), no. 1, 93-100.

Dispersion estimates for one-dimensional discrete Dirac equations, J. Math. Anal. Appl., 434 (2016), no. 1, 191-208.

Dispersion estimates for one-dimensional discrete Schroedinger and wave equations, J. Spectr. Theory, 5 (2015), no. 4, 663-696.

On the eigenfunction expansion for Hamilton operators. J. Spectr. Theory 5 (2015), no. 2, 331–361

Weighted energy decay for magnetic Klein-Gordon equation. Appl. Anal. 94 (2015), no. 2, 219–233.

Limiting absorption principle for the 1D discrete Dirac equation. Russ. J. Math. Phys. 22 (2015), no. 1, 34–38

On dispersion decay for discrete wave equations. Commun. Math. Anal. 17 (2014), no. 2, 209–216.

On spectral resolution and eigenfunction expansion for Hamilton operators, p.11 in: 5 th St.Petersburg conference in Spectral Theory dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg, Russia, 2013. Co-authored by A. Komech.

Асимптотическая устойчивость солитонов для нелинейных гиперболических уравнений, УМН, 68 (2013), вып. 2, 91-144 .

On nonlinear wave equations with parabolic potentials. Journal of Spectral Theory, 3 (2013), no.4, 485-503. ArXiv 1206.6073. Co-authored by A. Komech, S. Kopylov.

Dispersive estimates for 2D Dirac equation, Asymptotic Analysis, 84 (2013), 35-46.

Dispersive decay for the magnetic Schr"odinger equation, J. Funct. Analysis., 264 (2013), 735-751. ArXiv: 1204.1731. Co-authored by A. Komech.

On the spreading rate of the soliton perturbation for relativistic nonlinear wave equation, Comm. Math. Analysis, 4 (2013), no. 2, 95-102. Co-authored by A. Komech,Y. Karlovich, A. Merzon.

Dispersion estimates for magnetic Schroedinger and Klein-Gordon equations. Abstracts, 6-th European Congress of Mathematics. Krakow, Poland, 2012. Co-authored by A. Komech.

Dispersion estimates for magnetic Schr"odinger and Klein-Gordon equations. International Conference on Differential Equations and Dynamical Systems. Abstracts, Suzdal, Russia, 2012. Co-authored by A. Komech.

Dispersion estimates for magnetic Klein-Gordon equation. International Conference "Differential Equations and Application" in honour of Mark Vishik. Abstracts, Moscow, Russia, 2012.

On asymptotic stability of kinks for relativistic Ginzburg-Landau equation. Abstracts, International Workshop "Analysis, Operator Theory, and Mathematical Physics". Ixtapa, Mexico, 2012.

On long time decay for magnetic Schrödinger and Klein-Gordon equations, Proceedings of the Steklov Institute of Mathematics 278 (2012), 121-129.

On asymptotic stability of solitons in a nonlinear Schrödinger equation, Comm. Pure and Applied Analysis 11 (2012), no. 3, 1063-1079. ArXiv: 0807.1878. Co-authored by A. Komech, D. Stuart.

Dispersion Decay and Scattering Theory John Wiley & Sons, Hoboken, NJ, 2012. Co-authored by A. Komech.

On convergence to equilibrium distribution for Dirac equation, Markov Processes Relat. Fields 17 (2011), 523-540. ArXiv: 1201.6221. Co-authored by A. Komech.

On asymptotic stability of kink for relativistic Ginsburg-Landau equation, Arch. Rat. Mech. and Analysis, 202 (2011), no. 2, 213-245. ArXiv: 0910.5539. Co-authored by A. Komech.

On asymptotic stability of moving kink for relativistic Ginsburg-Landau equation, Comm. Math. Phys. 302 (2011), no. 1, 225-252. ArXiv: 0910.5538. Co-authored by A. Komech.

On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 17-18 in: The third St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg, Russia, 2011.

On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 65-66 in: International Conference "Differential Equations and Related Topics" dedicated to I.G. Petrovskii. Abstracts, Moscow, Russia, 2011.

Weighted energy decay for 1D Dirac equation, Dynamics of PDE, 8 (2011) no.2, 113-125.

Scattering of solitons for Dirac equation coupled to a particle, J. Math. Anal. Appl., 383 (2011), 265-290. Co-authored by A. Komech, H. Spohn.

On long-time decay for modified Klein-Gordon equation, Comm. Math. Analysis, Conference 03, 137-152.