ON THE BIRKHOFF-TURRITTIN TRUNCATION PROBLEM FOR SYSTEMS OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The Birkhoff-Turrittin truncation problem consists of the application of a linear transformation to a system of linear ordinary differential equations at a singular point of pole type which has the effect of truncating the expansion of the new coefficient. The degree of truncation is not known in general. For the case of systems having a regular singular point, a bound on the degree of truncation is established which extends Turrittins result of the case of a simple pole. Author
- Theoretical Mathematics