31 citations · 41 across the 6 of their papers we have counts for
6 papers
Special Relativity from Classical Gedankenexperiments involving Electromagnetic Forces: A Contribution to Relativity without Light
Sergio Eduardo Silva Duarte, Nathan Willig Lima
Simply by assuming the first postulate of Special Relativity and by exploring Gedankenexperiments with electromagnetic forces, we suggest that there is a speed limit in the univers…
Determining Liouvillian First Integrals for Dynamical Systems in the Plane
J. Avellar, L. G. S. Duarte, S. E. S. Duarte +1
Here we present/implement an algorithm to find Liouvillian first integrals of dynamical systems in the plane. In \cite{JCAM}, we have introduced the basis for the present implement…
Finding Elementary First Integrals for Rational Second Order Ordinary Differential Equations
J. Avellar, L. G. S. Duarte, S. E. S. Duarte +1
Here we present an algorithm to find elementary first integrals of rational second order ordinary differential equations (SOODEs). In \cite{PS2}, we have presented the first algori…
A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution - II
L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota
We present a semi-decision procedure to tackle first order differential equations, with Liouvillian functions in the solution (LFOODEs). As in the case of the Prelle-Singer procedu…
A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution
L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota
We present an algorithm to solve First Order Ordinary Differential Equations (FOODEs) extending the Prelle-Singer (PS) Method. The usual PS-approach miss many FOODEs presenting Lio…
Implementation of the Prelle-Singer Method for 1ODEs
L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota +1
A set of MapleV R5 software routines for solving first order ordinary differential equations (1ODEs) is presented. The package implements the Prelle-Singer Method in its original f…