PageHeader : Funkcialaj Ekvacioj, 26 (1983), 211-230 Title : On the Irregularity for General Systems of DifferentiaI Title : Equations in the Complex Domain*) AuthorInfo : By AuthorInfo : Masatake MIYAKE AuthorInfo : (Nagoya University, Japan) section : 1. Introduction. section : 2. The determinant for matrices and the analytic index. section : 3. Formal index. section : 4. Meromorphic index. section : 5. Proof of Corollary to Main Theorem. section : 6. Application to the Cauchy problem. section : 7. Miscellaneous remarks for rectangular matrices. section : References