Модифицированный метод Галеркина для задачи Врагова

In this paper we consider Vragov problem for the equation of mixed type. We construct an approximate solution by solving a boundary value problem for the system of third-order ODE. The obtained error estimate for modified Galerkin method through the regularization parameter and the eigenvalues of the Dirichlet problem for the Laplas equation in the variables $x\in R^n$.