8 citations · 16 across the 5 of their papers we have counts for
5 papers
An Inverse Almost Periodic Problem for a Semilinear Strongly Damped Wave Equation
Irina Kmit, Nataliya Protsakh, Viktor Tkachenko
This paper investigates an inverse boundary value problem for a semilinear strongly damped wave equation with Dirichlet boundary conditions in Sobolev spaces of functions bounded i…
Lyapunov function and smooth periodic solutions to quasilinear 1D hyperbolic systems
Irina Kmit, Viktor Tkachenko
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…
On the bounded smooth solutions to exponentially stable linear nonautonomous hyperbolic systems
Irina Kmit, Viktor Tkachenko
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…
Classical Bounded and Almost Periodic Solutions to Quasilinear First-Order Hyperbolic Systems in a Strip
I. Kmit, L. Recke, V. Tkachenko
We consider boundary value problems for quasilinear first-order one-dimensional hyperbolic systems in a strip. The boundary conditions are supposed to be of a smoothing type, in th…
Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems
I. Kmit, L. Recke, V. Tkachenko
We examine robustness of exponential dichotomies of boundary value problems for general linear first-order one-dimensional hyperbolic systems. The boundary conditions are supposed…