1 citations · 2 across the 7 of their papers we have counts for
7 papers
An Approach to the Primordial Universe Using Colombeau's Simplified Algebra
Jonatas A. Silva, Fábio C. Carvalho, Antonio R. G. Garcia
The proposal "no boundary" of physicists Hartle and Hawking seeks to build a satisfactory model of the early Universe, in a way that avoids the singularity "Big Bang" of the beginn…
A Discontinuous Differential Calculus in the Framework Colombeau's Full Algebra
Wagner Cortes, Antonio R. G. Garcia, Severino H. da Silva
Starting from the Colombeau's full generalized functions, the sharp topologies and the notion of generalized points, we introduce a new kind differential calculus (for functions be…
Dissipative property for a class of non local evolution equations
Severino H. da Silva, Antonio R. G. Garcia, Bruna E. P. Lucena
In this work we consider the non local evolution problem \[ \begin{cases} \partial_t u(x,t)=-u(x,t)+g(βK(f\circ u)(x,t)+βh), ~x \inΩ, ~t\in[0,\infty[;\\ u(x,t)=0, ~x\in\mathbb{R}^N…
The quaternion over the ring of Colombeau's full generalized numbers
Wagner Cortes, A. R. G. Garcia, S. H. da Silva
In this paper, we extend the results obtained by Cortes-Ferrero-Juriaans (2009) for the quaternion over the ring Colombeau's simplified generalized numbers, denoted by $\overline{\…
Colombeau's Algebra of full Generalized Numbers
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
Let $\bar{\Kset}_f$ denote the commutative unital ring of Colombeau's full generalized numbers. This ring can be endowed with an ultra-metric in such a way that it becomes a topolo…
Existence of solutions for a problem of resonance road space with weight
Antonio Ronaldo G. Garcia, Moises D. dos Santos, Adriao D. D. Neto
In this work we use variational methods to show the existence of weak solutions for a nonlinear problem of the type elliptic. This problem was initially study by the authors Ahmad,…