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reduction; modified Poincaré differential equation; Birkhoff matrix form
In this paper the reduction of the modified Poincaré linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is given.
[1] Risteski, I. B.: A Simple Reduction of the Poincaré Differential Equation to Cauchy Matrix Form. Missouri J. Math. Sci. 11 (1999), 4–9. MR 1674447 | Zbl 1097.34509
[2] Turrittin, H. L.: Reduction of Ordinary Differential Equation to Birkhoff Canonical Form. Trans. Amer. Math. Soc. 107 (1963), 485–507. DOI 10.1090/S0002-9947-1963-0150367-9 | MR 0150367
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