ИСТИНА

The paper obtains sufficient conditions for the existence, uniqueness and asymptotic stability according to Lyapunov of a stationary solution of the initial-boundary value problem. The corresponding theorem is proved, as well as a theorem on stabilization of the solution of a parabolic problem to a unique stationary solution. To illustrate the stabilization process, the results of numerical implementation of the solution for given parameters are given. The validity of the numerical calculations is confirmed by the proven theorem.