18 citations · 46 across the 15 of their papers we have counts for
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math.FA2020
Calculus of variations and optimal control for generalized functions
Gastao S. F. Frederico, Paolo Giordano, Alexandr A. Bryzgalov +1
We present an extension of some results of higher order calculus of variations and optimal control to generalized functions. The framework is the category of generalized smooth fun…
math.FA2020★ 1 cited
Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers
A. Mukhammadiev, D. Tiwari, G. Apaaboah +1
It is well-known that the notion of limit in the sharp topology of sequences of Colombeau generalized numbers does not generalize classical results. E.g.~t…
math.FA2020
Hyperseries in the non-Archimedean ring of Colombeau generalized numbers
Diksha Tiwari, Paolo Giordano
This article is the natural continuation of the paper: Mukhammadiev A.~et al Supremum, infimum and hyperlimits of Colombeau generalized numbers in this journal. Since the ring $\ti…