Algebraic (differential) equations with functional coefficients

  • Sebastian Falkensteiner (MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)


Finding rational solutions of first-order algebraic ordinary differential equations with functional coefficients is in general a hard problem. By considering these coefficients as parameters, we obtain an implicitly defined curve. In this talk, we study rational parametrizations of such algebraic curves involving unknown parameters leading to a procedure for finding rational solutions of the original differential equation.

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

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