Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Kmit, Irina"'
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
Autor:
Kmit, Irina, Recke, Lutz
This paper concerns autonomous boundary value problems for 1D semilinear hyperbolic PDEs. For time-periodic classical solutions, which satisfy a certain non-resonance condition, we show the following: If the PDEs are continuous with respect to the sp
Externí odkaz:
http://arxiv.org/abs/2301.00605
Autor:
Kmit, Irina, Recke, Lutz
This paper concerns the behavior of time-periodic solutions to 1D dissipative autonomous semilinear hyperbolic PDEs under the influence of small time-periodic forcing. We show that the phenomenon of forced frequency locking happens similarly to the a
Externí odkaz:
http://arxiv.org/abs/2208.00868
Autor:
Kmit, Irina
We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under whic
Externí odkaz:
http://arxiv.org/abs/2208.00858
Autor:
Kmit, Irina, Recke, Lutz
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2024 529(1)
Autor:
Kmit, Irina, Recke, Lutz
We consider boundary value problems for 1D autonomous damped and delayed semilinear wave equations of the type $$ \partial^2_t u(t,x)- a(x,\lambda)^2\partial_x^2u(t,x)= b(x,\lambda,u(t,x),u(t-\tau,x),\partial_tu(t,x),\partial_xu(t,x)), \; x \in (0,1)
Externí odkaz:
http://arxiv.org/abs/2011.06824
Autor:
Kmit, Irina, Lyul'ko, Natalya
We address nonautonomous initial boundary value problems for decoupled linear first-order one-dimensional hyperbolic systems, investigating the phenomenon of finite time stabilization. We establish sufficient and necessary conditions ensuring that so
Externí odkaz:
http://arxiv.org/abs/2006.05105
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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