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On singular Frobenius for second order linear partial differential equations
Victor León, Bruno Scárdua
The main subject of this paper is the study of analytic second order linear partial differential equations. We aim to solve the classical equations and some more, in the real or co…
On singular Frobenius for linear differential equations of second and third order, part 1: ordinary differential equations
V. León, B. Scárdua
We study second order and third order linear differential equations with analytic coefficients under the viewpoint of finding formal solutions and studying their convergence. We ad…
Irreducible holonomy groups and Riccati foliations in higher complex dimension
V. León, M. Martelo, B. Scárdua
We study groups of germs of complex diffeomorphisms having a property called irreducibility. The notion is motivated by a similar property of the fundamental group of the complemen…
On the integrability of Hill's equation of the motion of the moon
Fernando Reis, Bruno Scárdua
We study under the standpoint of integrable complex analytic 1-forms (complex analytic foliations), a class of second order ordinary differential equations with periodic coefficien…