Speaker: Pro.Chengfa Wu（Shenzhen University）

Title: Meromorphic solutions of certain autonomous algebraic differential equations

Time: Fri, Apr.19, 2019, PM:4:30-5:30

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

      Meromorphic functions are the natural building blocks to construct particular solutions of ordinary differential equations (ODEs). Eremenko has proved that there exists a class of autonomous algebraic ODEs such that all their meromorphic solutions belong to the class W, which consists of elliptic functions and their degeneracies. In this talk, we will show that this method is also applicable to the generic case of the nonlinear Loewy factorizable algebraic ordinary differential equations. For the second order factorizable algebraic ODEs, all their meromorphic solutions (except for one case) are found explicitly. This allows us to show that a conjecture proposed by Hayman in 1996 holds for these second order ODEs.The generalization of Eremenko's method will also be discussed.

Biography:

 Dr. Chengfa Wu got his PhD degree from The University of Hong Kong and now is working in the Institute for Advanced Study at Shenzhen University. His current research interests are complex differential equations and integrable systems.