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On a result of G. D. Birkhoff on linear differential systems

On a result of G. D. Birkhoff on linear differential systems

We give a simple example to show that a result on the equivalent singular points of systems of ordinary linear differential equations due to G. D. Birkhoff [3; 5, needs amendment.In matrix notation, in which Y, P, etc. denote nXn matrix-valued functions of a complex variable z, this result is …