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of 122
pro vyhledávání: '"Tkachenko, Viktor A."'
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
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
Akademický článek
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Publikováno v:
4open 1, 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, XTANT (X-ray-induced Thermal And Nonthermal Transitions). Various dama
Externí odkaz:
http://arxiv.org/abs/1805.07524
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:
Eastern-European Journal of Enterprise Technologies; 2024, Vol. 130 Issue 7, p60-69, 10p
Publikováno v:
In Journal of Differential Equations 15 July 2020 269(3):2532-2579