Meromorphic solutions of some second order differential equations
The relation between meromorphic solutions of a Riccati equation \(u' + u^ 2 + A(z) = 0\) \((A(z)\) is a meromorphic function) and meromorphic solutions of some second order nonlinear differential equation, by the properties of solutions of some linear self-adjoint third order differential equation is investigated.
second order nonlinear differential equation
linear self-adjoint third order differential equation
scientific article; zbMATH DE number 549044