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.