2 citations · 3 across the 19 of their papers we have counts for
4 papers · 1 filter
Fixed Point Theorems for Hypersequences and the Foundation of Generalized Differential Geometry I: The Simplified Algebra
S. O. Juriaans, J. Oliveira
Fixed point theorems are one of the many tools used to prove existence and uniqueness of differential equations. When the data involved contains products of distributions, some of…
Differential Calculus and Integration of Generalized Functions over Membranes
J. Aragona, R. Fernandez, S. O. Juriaans +1
In this paper we continue the development of the differential calculus started by Aragona-Ferandez-Juriaans. Guided by the topology introduced recently by those authors we introduc…
Generalized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
In \cite{bf} Brézis and Friedman prove that certain nonlinear parabolic equations, with the -measure as initial data, have no solution. However in \cite{cl} Colombeau and Langla…
The Colombeau Quaternion Algebra
W. Cortes, M. A. Ferrero, S. O. Juriaans
We introduce the Colombeau Quaternio Algebra and study its algebraic structure. We also study the dense ideal, dense in the algebraic sense, of the algebra of Colombeau generalized…