Asymptotic solutions of Dirichlet problem for the heat equation with impulses

The theory of impulsive differential equations is an important part of the modern theory of differential equations, which has many applications in practice. Till now, a lot of different problems connected with impulsive differential equations have been studied. It has been found that solutions of differential equations with impulses can exhibit very complicated behavior. In the present paper, we study the problem of the construction of an asymptotic solution of the Dirichlet problem for the heat equation with impulses.