On the regularization of a matrix differential-algebraic boundary-value problem

摘要

The conditions of regularization and the structure of generalized Green's operator for a regularized linear matrix differential-algebraic boundary-value problem are found. To solve the problem of regularization of a generalized matrix differential-algebraic boundary-value problem, the original conditions of solvability and the structure of the general solution of a matrix equation of the Sylvester type are used.