36 citations · 164 across the 37 of their papers we have counts for
35 papers
Higher Regularity of Time-Periodic Solutions to Nonautonomous Hyperbolic Problems: Away from Resonances
Irina Kmit, Lutz Recke
We study higher regularity and its relation to nonresonant behavior for time-periodic solutions of boundary value problems for one-dimensional linear and nonlinear nonautonomous fi…
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…
Regularity of Time-Periodic Solutions to Autonomous Semilinear Hyperbolic PDEs
Irina Kmit, Lutz Recke
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…
Forced Frequency Locking for Semilinear Dissipative Hyperbolic PDEs
Irina Kmit, Lutz Recke
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…