О задаче Коши для матричных факторизаций уравнения Гельмгольца в ограниченной области

In the paper it is considered the problem of regularization of the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorisable Helmholtz operator in three-dimensional bounded domain. Using the results of [1–6], is constructed explicitly Carleman matrix and, based on the regularized solution of the Cauchy problem.