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Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra
Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 301-316
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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.
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.
DOI : 10.21136/MB.1998.126067
Classification : 34A10, 34A12, 34A30, 46F10, 46F99
Keywords: generalized ordinary differential equations; Cauchy problem; distributions; Colombeau algebra 
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Ligęza, Jan. Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra. Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 301-316. doi: 10.21136/MB.1998.126067

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