Igor Chueshov, Tamara Fastovska,and Iryna Ryzhkova Quasi-Stability Method in Study of Asymptotic Behavior of Dynamical Systems // Journal of Mathematical Physics, Analysis, Geometry, 2019, Vol. 15, No. 4, pp. 448-501,

T. Fastovska Long-time behaviour of a radially symmetric fluid-shell interaction system // Discrete and Continuous Dynamical Systems A, 38(2018), 1315-1348.,

Chueshov I, Fastovska, T., On interaction of circular cylindrical shells with a Poiseuille type flow , Evolution Equations and Control Theory (2016), Vol. 5, no. 4, 605-629. //

Fastovska, T. Global attractor for thermoelasticity in shape memory alloys without viscosity.Math. Meth. Appl. Sci., . 39 (2016), no. 1315, 3669–3690. doi: 10.1002/mma.3815. Article first published online: 14 DEC 2015 //

T.B. Fastovska, Attractor for a composite system of nonlinear wave and thermoelastic plate equations, Visnyk of Kharkiv National University,70 (2014), 435. //

T. Fastovska, Decay rates for Kirchhoff-Timoshenko transmission problems, Commun. Pure Appl. Anal., 12 (2013), no. 6, pp. 2645-2667. //

T. Fastovska, On the long-time behavior of the thermoelastic plates with second sound., J. Math. Phys. Anal. Geom., 9 (2013), no. 2, 191-206. //

T. Fastovska, Upper semicontinuous attractor for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory, Nonlinear Analysis TMA, 71 (2009), no. 10, 4833-4851. //

T. Fastovska, Upper semicontinuous attractor for 2D Mindlin-Timoshenko thermoelastic model with memory, Commun. Pure Appl. Anal., 6 (2007), no. 1, 83-101. //

T. Fastovska, Asymptotic properties of global attractors for nonlinear MindlinTimoshenko model of thermoelastic plate, Visnyk of Kharkiv National University, 56 (2006), no. 749, 13-29. //

T. Fastovska, Invariant manifolds for coupled nonlinear parabolic- hyperbolic PDE, Ukrainian Math. J., 57 (2005), no. 12, 1684-1697. //

T. Fastovska, Global attractor for nonlinear Mindlin-type plates thermoelasticity, J. Math. Phys. Anal. Geom., 12 (2005), no. 2, 203-217. //