A new approach for second-order linear matrix descriptor differential equations of Apostol–Kolodner type

摘要

In this paper, we study a class of linear second-order matrix descriptor differential equations of Apostol–Kolodner type with constant coefficients. In the new approach, we propose a different transformation from what Kalogeropoulos et al. (2009) have used in their recent paper. However, similarly with them, the Weierstrass canonical form has been considered, and the analytical formula for the solution of this general class is derived naturally for consistent initial conditions.