Multipoint Boundary Value Problem for the Lyapunov Equation in the Case of Weak Degeneration of the Boundary Conditions

Аннотация

Sufficient coefficient conditions for the unique solvability of a multipoint boundary value problem for a matrix Lyapunov differential equation are obtained in the case of weak degeneration of the boundary conditions. An iteration solution algorithm based on the computational scheme of the classical successive approximation method is proposed.