Geodesic
Generalized solutions of ordinary linear differential equations in the Colombeau algebra
Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 123-146.

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In this paper first order systems of linear of ODEs are considered. It is shown that these systems admit unique solutions in the Colombeau algebra $\Cal L(\bold R^1)$.
DOI : 10.21136/MB.1993.126054
Classification : 34A10, 34A12, 34A30, 34G10, 46F05, 46F99, 46N20
Keywords: linear Cauchy problem; Colombeau algebra of generalized distributions; existence; uniqueness; generalized ordinary differential equation; Cauchy problem generalized function; distribution 
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     title = {Generalized solutions of ordinary linear differential equations in the {Colombeau} algebra},
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Ligęza, Jan. Generalized solutions of ordinary linear differential equations in the Colombeau algebra. Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 123-146. doi : 10.21136/MB.1993.126054. http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126054/

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