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Generalized reduction of the Poincaré differential equation to Cauchy matrix form. (English) Zbl 0946.34009

Summary: Using the transformation of H. L. Turrittin [Reduction of ordinary differential equations to the Birkhoff canonical form, Trans. Am. Math. Soc. 107, 485-507 (1963; Zbl 0115.07002)], the author proves that the Poincaré differential equation of \(n\)th-order with multiple regular singularities, can be reduced to the Cauchy matrix form.

MSC:

34A30 Linear ordinary differential equations and systems
15A18 Eigenvalues, singular values, and eigenvectors

Citations:

Zbl 0115.07002
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