Zusammenfassung für den Vortrag am 26.10.2022 (14:00 Uhr)
Seminar on Nonlinear AlgebraSebastian Falkensteiner (MPI MiS, Leipzig)
Algebraic (differential) equations with functional coefficients
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.