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Keywords:
generalized ordinary differential equations; Cauchy problem; distributions; Colombeau algebra
generalized ordinary differential equations; Cauchy problem; distributions; Colombeau algebra
Summary:
In this paper first order linear ordinary differential equations are considered. It is shown that the Cauchy problem for these systems has a unique solution in $ {\Cal G}^n (\Bbb R) $, where $ {\Cal G} (\Bbb R) $ denotes the Colombeau algebra.
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