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math.DS2011★ 1 cited
Various aspects of differential equations having a complete set of independent first integrals
R. Ramírez, N. Sadovskaia
In this paper we study the differential equations in having a complete set of independent first integrals. In particular we study the case when the first integ…
math.DS2010★ 1 cited
Cartesian approach for constrained mechanical systems
Rafael Ramírez, Natalia sadovskaia
In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mecha…
math.DS2009★ 1 cited
Inverse Approach In The Study Of Ordinary Differential Equations
Rafael Ramirez, Natalia Sadovskaia
We extend the Eruguin result exposed in the paper "Construction of the whole set of ordinary differential equations with a given integral curve" published in 1952 and construct a d…