12 citations · 16 across the 3 of their papers we have counts for
3 papers
math.CA2009★ 12 cited
Differential Galois Theory of Algebraic Lie-Vessiot Systems
David Blázquez-Sanz, Juan José Morales-Ruiz
In this paper we develop a differential Galois theory for algebraic Lie-Vessiot systems in algebraic homogeneous spaces. Lie-Vessiot systems are non autonomous vector fields that a…
math.CA2009
Lie's Reduction Method and Differential Galois Theory in the Complex Analytic Context
David Blázquez-Sanz, Juan José Morales-Ruiz
This paper is dedicated to the differential Galois theory in the complex analytic context for Lie-Vessiot systems. Those are the natural generaliza- tion of linear systems, and the…
math.CA2009★ 4 cited
Local and Global Aspects of Lie's Superposition Theorem
David Blázquez-Sanz, Juan José Morales-Ruiz
In this paper we give the global conditions for an ordinary differential equation to admit a superposition law of solutions in the classical sense. This completes the well-known Li…