A generalized matrix differential-algebraic equation
This paper is concerned with a linear boundary value problem for a generalized matrix differential-algebraic equation, which is described by a differential-algebraic matrix operator and an algebraic one. Conditions for the solvability and the structure of the generalized Green operator associated with the boundary value problem are established. The obtained results are extensions of those for boundary value problems for matrix differential equations and differential-algebraic equations. The main technique is the reduction of the matrix differential-algebraic equation to a traditional differential-algebraic equation. The investigation is divided into two cases which depends on whether the vectorized system is solvable or not solvable with respect to the derivative.
scientific article; zbMATH DE number 6529626