学术报告报告题名：Meromorphic solutions of certain autonomous algebraic differential equations
报 告 人：吴成发 研究员 (深圳大学)
报告时间：2019年4月19日（星期五）下午4:30-5:30
报告地点：4号楼318室
邀 请 人：凌黎明 教授
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数学学院
2019年4月18日
报告摘要:
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.
报告人简介:
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.