Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Tkachenko Viktor"'
Autor:
Kmit, Irina, Tkachenko, Viktor
We apply a Lyapunov function to obtain conditions for the existence and uniqueness of small classical time-periodic solutions to first order quasilinear 1D hyperbolic systems with (nonlinear) nonlocal boundary conditions in a strip. The boundary cond
Externí odkaz:
http://arxiv.org/abs/2407.08605
Autor:
Kmit, Irina, Tkachenko, Viktor
We investigate global bounded solutions of higher regularity to boundary value problems for a general linear nonautonomous first order 1D hyperbolic system in a strip. We establish the existence of such solutions under the assumption of exponential s
Externí odkaz:
http://arxiv.org/abs/2309.15743
Publikováno v:
4 open, Vol 1, p 3 (2018)
We review the results of our research on damage mechanisms in materials irradiated with femtosecond free-electron-laser (FEL) pulses. They were obtained using our hybrid approach, X-ray-induced thermal and non-thermal transitions (XTANT). Various dam
Externí odkaz:
https://doaj.org/article/6342a569360b465ca5b8f7f18b14e7a9
The paper concerns boundary value problems for general nonautonomous first order quasilinear hyperbolic systems in a strip. We construct small global classical solutions, assuming that the right hand sides are small. In the case that all data of the
Externí odkaz:
http://arxiv.org/abs/1912.11934
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Autor:
Tkachenko, Viktor
In an abstract Banach space we study conditions for the existence of piecewise continuous, almost periodic solutions for semi-linear impulsive differential equation with fixed and non-fixed moments of impulsive action
Comment: Corrected version
Comment: Corrected version
Externí odkaz:
http://arxiv.org/abs/1604.06762
Three-wave mixing of ordinary and backward electromagnetic waves in pulsed regime is investigated in the metamaterials, which enable co-existence and phase matching of such waves. It is shown that opposite direction of phase velocity and energy flux
Externí odkaz:
http://arxiv.org/abs/1602.08217
Publikováno v:
Journal of Mathematical Analysis and Applications 446 (2017), 1030-1045
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems. The mai
Externí odkaz:
http://arxiv.org/abs/1511.07833
Publikováno v:
In Journal of Differential Equations 15 July 2020 269(3):2532-2579
Autor:
Tsipotan, Aleksey S. *, Tkachenko, Viktor A., Aleksandrovsky, Aleksandr S., Slabko, Vitaliy V.
Publikováno v:
In Photonics and Nanostructures - Fundamentals and Applications July 2020 40