A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations

A closed formula is given, which allows the determination of the impulsive solutions of linear homogeneous matrix differential equations (LHMDE) directly in terms of finite and infinite spectral data of the associated polynomial matrix. Specifically, the notions of finite and infinite Jordan pairs for a general polynomial matrix are defined and it is pointed out the strong relationship among them and the impulsive solutions of LHMDE.<
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