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Zeitschrift für Analysis und ihre Anwendungen

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Volume 32, Issue 3, 2013, pp. 349–370
DOI: 10.4171/ZAA/1489

Published online: 2013-07-03

A Smooth Solution to a Linear System of Singular ODEs

Gennadi Vainikko[1]

(1) Tartu University, Estonia

For a linear system of singular ordinary di erential equations, necessary and sucient conditions are established for the existence of a unique $C^m$-smooth solution. A reduction to cordial Volterra integral equations is used.

Keywords: Differential equations with singularities, cordial Volterra integral equations, smooth solutions

Vainikko Gennadi: A Smooth Solution to a Linear System of Singular ODEs. Z. Anal. Anwend. 32 (2013), 349-370. doi: 10.4171/ZAA/1489