Tuen Wai Ng, HKU, Hong Kong

Solving non-linear differential equations by Nevanlinna Theory

 

In this talk, I shall report some recent progresses on applying Nevanlinna Theory to find exact solutions of certain non-linear differential equations. In particular, I shall show that the all meromorphic solutions of the differential equation, y(4)  = y5 are of the form a/z-b. This solves an old problem of Alexandre Eremenko. This is a joint work with L.W. Liao.