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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…
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…
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…