The aim of this paper is to generalize this theorem to a certain type of system of first order linear partial differential equations with analytic (or better: formal) coefficients. To be more precise, a completely integrable Pfaffian system with a special type of singularities along normal crossings. For such systems a triangulation can be obtained, and there is a complete separation of the variables.
The aim of this paper is to generalize this theorem to a certain type of system of first order linear partial differential equations with analytic (or better: formal) coefficients. To be more precise, a completely integrable Pfaffian system with a special type of singularities along normal crossings. For such systems a triangulation can be obtained, and there is a complete separation of the variables.
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