Resumen de A numeric-symbolic algorithm for computing the Liouvillian solutions of dierential equations and systems

Alberto Llorente Mediavilla, Jorge Mozo-Fernández

• We give an algorithm for deciding if an explicitable higher-order system of linear diferential equations over the complex rational functions, symbolically given, admits non-null Liouvillian solutions, computing symbolically one in the positive case, by numeric symbolic methods in the sense of J. van der Hoeven.