6 citations · 15 across the 5 of their papers we have counts for
5 papers
Nonlinear inverse problem for identifying a coefficient of the lowest term in hyperbolic equation with nonlocal conditions
G. Yu. Mehdiyeva, Y. T. Mehraliyev, E. I. Azizbayov
In this paper, a nonlinear inverse boundary value problem for the second-order hyperbolic equation with nonlocal conditions is studied. To investigate the solvability of the origin…
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…
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…