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Recursive properties of generalized ordinary differential equations and applications
(2021-12-05)
The aim of this paper is to obtain results on topological properties of flows for nonnegative time in the framework of generalized ODEs. We define the concept of generalized semiflow and we present some recursive properties ...
Composition for a class of generalized functions in Colombeau's theory
(2001-12-01)
In Colombeau's theory, given an open subset Ω of ℝn, there is a differential algebra G(Ω) of generalized functions which contains in a natural way the space D′(Ω) of distributions as a vector subspace. There is also a ...