In the present study, an identification problem with the Neumann boundary condition for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. ...

For the nonhomogeneous wave equation with three space and one time variables we study a boundary value problem that can be regarded as a four-dimensional analogue of the Darboux problem in R2. Unlike the planar Darboux ...

In the present paper a second order of accuracy two-step difference scheme for an approximate solution of the nonlocal boundary value problem for the elliptic differential equation — v//(t) + Av(t) = f (t) T (0 < t < T), ...

We consider discrete pseudo-di˙erential operatots and equations as approximate operators and equations for their continuous analogues. For this purpose we study a solvability for such equations in appropriate discrete ...

For the elliptic equation of 21—th order with of constant (and only) real coefficients we consider boundary value problem of the normal derivatives (kj — 1) order, j = 1,... ,1, where 1 < k1 < ... < ki < 21 — 1. When kj = ...

In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated. The Green’s function of the operator under consideration in the ...