A generalization of a theorem of Mammana
Tom 122 / 2011
Colloquium Mathematicum 122 (2011), 215-223 MSC: Primary 34A30. DOI: 10.4064/cm122-2-6
We prove that any linear ordinary differential operator with complex-valued coefficients continuous in an interval $I$ can be factored into a product of first-order operators globally defined on $I$. This generalizes a theorem of Mammana for the case of real-valued coefficients.