Research Articles and Preprints
T. Fastovska, D. Langemann, On the asymptotic properties of solutions to a nonlinear transmission problem for a Bresse beam with thermal damping, Evolution Equations and Control Theory, Vol. 18, 2026, 208-254, doi:10.3934/eect.2026002.
Fastovska T. Ginster J. and Zwicknagl B. Derivation of Reissner-Mindlin model from nonlinear elasticity, 2025, arXiv:2508.08834 [math.AP], https://doi.org/10.48550/arXiv.2508.08834
Fastovska T., Langemann D., Ryzhkova I. Qualitative properties of solutions to a nonlinear transmission problem for an elastic Bresse beam. Front. Appl. Math. Stat., 2024, 10:1418656, 2, doi:10.3389/fams.2024.1418656.
Fastovska T. Global attractors for a full von Karman beam transmission
problem. Commun. Pure Appl. Anal. 22(4), 2023,1120-1158, doi: 10.3934/cpaa.2023022.
Chueshov I., Fastovska T., Ryzhkova I. Quasistability method in study of asymptotical behaviour of dynamical systems, J. Math. Phys. Anal. Geom.15, no. 4, 2019, 448–501, doi: 10.15407/mag15.04.448.
Fastovska T. Long-time behaviour of a radially symmetric fluid-shell interaction system. Discrete and Continuous Dynamical Systems A 38, 2018, 1315–1348, doi: 10.3934/dcds.2018054.
Fastovska T. Pullback attractors on time-dependent spaces for fluid-structure interaction systems, 2018, preprint arXiv:1808.03162 [math.DS] , https://doi.org/10.48550/arXiv.1808.03162
Fastovska T. Global attractor for thermoelasticity in shape memory alloys without viscosity. Math. Meth. Appl. Sci. 39, 2016, 3669–3690, doi: 10.1002/mma.3815.
Chueshov I., Fastovska T. On interaction of circular cylindrical shells with a Poiseulle flow, Evolution Equations and Control Theory 5, 2016, 605–629, doi: 10.3934/eect.2016021.
Fastovska T. Attractor for a composite system of nonlinear wave and thermoelastic plate equations. Visnyk of Kharkiv National University 70, 2014, 4–35, doi: 10.26565/2221-5646-2014-1133-01.
Fastovska T. Decay rates for Kirchhoff-Timoshenko transmission problems, Commun. Pure Appl. Anal. 12, 2013, 2645–2667, doi: 10.3934/cpaa.2013.12.2645.
Fastovska T. On the long-time behavior of the thermoelastic plates with second sound. J. Math. Phys. Anal. Geom. 9, 2013, 191–206, https://nasplib.isofts.kiev.ua/handle/123456789/106701.
Fastovska T. Upper semicontinuous attractor for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory, Nonlinear Analysis TMA 71, 2009, 4833–4851, doi: 10.1016/j.na.2009.03.059.
Fastovska T. Upper semicontinuous attractor for 2D Mindlin-Timoshenko thermoelastic model with memory. Commun. Pure Appl. Anal. 6, 2007, 83–101, doi: 10.3934/cpaa.2007.6.83.
Fastovska T. Asymptotic properties of global attractors for nonlinear Mindlin-Timoshenko model of thermoelastic plate. Visnyk of Kharkiv National University 56, no. 749, 2006, 13–29, http://vestnik-math.univer.kharkov.ua/vol749.htm.
Fastovska T. Invariant manifolds for coupled nonlinear parabolic- hyperbolic PDE. Ukrainian Math. J. 57, no. 12, 2005,1684–1697, doi: 10.1007/s11253-006-0043-3.
Fastovska T. Global attractor for nonlinear Mindlin-type plates thermoelasticity. J. Math. Phys. Anal. Geom. 12, no. 2, 2005, 203–217, https://mathscinet.ams.org/mathscinet/relay-station?mr=2152646
Books
Emelianova T., Fastovska T., Nebratenko O., Yarkho T. (2011): Exercises in higher mathematics. Indefinite Integral. – Kharkiv, 2011. – 192 p. (in Ukrainian).
Emelianova T., Fastovska T., Yarkho T. (2017): Lecture notes and exercises in higher mathematics. Indefinite Integral. – Kharkiv, 2017. – 156 p. (in Ukrainian).
Emelianova T., Fastovska T., Ptashnyi O. , Yarkho T. (2019): Indefinite Integral.
– Kharkiv, 2019. – 204 p. (in Ukrainian).