Abstract for the talk on 26.10.2022 (14:00 h)

Seminar on Nonlinear Algebra

Sebastian Falkensteiner (MPI MiS, Leipzig)
Algebraic (differential) equations with functional coefficients
26.10.2022, 14:00 h, MPI für Mathematik in den Naturwissenschaften 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.


07.09.2022, 12:41