6 citations · 16 across the 6 of their papers we have counts for
6 papers
On the Cauchy Problem for a Linear Harmonic Oscillator with Pure Delay
Denys Khusainov, Michael Pokojovy, Elvin Azizbayov
In the present paper, we consider a Cauchy problem for a linear second order in time abstract differential equation with pure delay. In the absence of delay, this problem, known as…
Solving the Linear 1D Thermoelasticity Equations with Pure Delay
Denys Ya. Khusainov, Michael Pokojovy
We propose a system of partial differential equations with a single constant delay describing the behavior of a one-dimensional thermoelastic solid occupying a bounded inter…
Representation of Classical Solutions to a Linear Wave Equation with Pure Delay
Denys Khusainov, Michael Pokojovy, Elvin Azizbayov
For a wave equation with pure delay, we study an inhomogeneous initial-boundary value problem in a bounded 1D domain. Under smoothness assumptions, we prove unique existence of cla…
Construction of Exact Control for a One-Dimensional Heat Equation with Delay
Denys Khusainov, Michael Pokojovy, Elvin Azizbayov
We prove an exact controllability result for a one-dimensional heat equation with delay in both lower and highest order terms and nonhomogeneous Dirichlet boundary conditions. More…
On Classical Solvability for a Linear 1D Heat Equation with Constant Delay
Denys Khusainov, Michael Pokojovy, Elvin Azizbayov
In this paper, we consider a linear heat equation with constant coefficients and a single constant delay. Such equations are commonly used to model and study various problems arisi…
Strong and Mild Extrapolated -Solutions to the Heat Equation with Constant Delay
Denys Khusainov, Michael Pokojovy, Reinhard Racke
We propose a Hilbert space solution theory for a nonhomogeneous heat equation with delay in the highest order derivatives with nonhomogeneous Dirichlet boundary conditions in a bou…