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math.SP2017
Spectral Picard-Vessiot fields for Algebro-geometric Schrödinger operators
Juan J. Morales-Ruiz, Sonia L. Rueda, Maria-Angeles Zurro
This work is a galoisian study of the spectral problem , for algebro-geometric second order differential operators , with coefficients in a differential field, whose fiel…
math.DS2017
Differential Galois Theory and non-Integrability of Planar Polynomial Vector Fields
Primitivo B. Acosta-Humánez, J. Tomás Lázaro, Juan J. Morales-Ruiz +1
We study a necessary condition for the integrability of the polynomials fields in the plane by means of the differential Galois theory. More concretely, by means of the variational…