1 citations · 1 across the 4 of their papers we have counts for
4 papers
The search for Invariants for 3D Systems of 1ODEs - a new Method and Integrability Analysis
L. G. S. Duarte, J. P. C. Eiras, L. A. C. P. da Mota
In [1], we have presented the theoretical background for finding the Elementary Invariants for a 3D system of first order rational differential equations (1ODEs). We have also prov…
Improving a family of Darboux methods for rational second order ordinary differential equations
L. G. S. Duarte, L. A. C. P. da Mota
We have been working in many aspects of the problem of analyzing, understanding and solving ordinary differential equations (first and second order). As we have extensively mention…
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…
Prelle-Singer Approach and Liouvillian Solutions: An Important Result
L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota
In math-ph/0107007, we present a method to tackle first order ordinary differential equations whose solutions contain Liouvillian functions (LFOODEs), many of them missed by the us…