18 citations · 46 across the 15 of their papers we have counts for
21 papers
Hyper-power series and generalized real analytic functions
Diksha Tiwari, Akbarali Mukhammadiev, Paolo Giordano
This article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers in this journal. We study one…
A Picard-Lindelöf theorem for smooth PDE
Paolo Giordano, Lorenzo Luperi Baglini
We prove that Picard-Lindelöf iterations for an arbitrary smooth normal Cauchy problem for PDE converge if we assume a suitable Weissinger-like sufficient condition. This condition…
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…
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…
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…
The classical theory of calculus of variations for generalized functions
Alexander Lecke, Lorenzo Luperi Baglini, Paolo Giordano
We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Sc…