Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra
Year: 1998
Type: article
Abstract: 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.
Source: Mathematica Bohemica
Author: Jan Ligęza
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2738358409