In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions.
Athanasios A. Pantelous. Athanasios D. Karageorgos. Grigoris I. Kalogeropoulos. Kostas G. Arvanitis. "Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions." Abstr. Appl. Anal. 2010 1 - 24, 2010. https://doi.org/10.1155/2010/897301