Quasi-linearization of a general self-adjoint Riccati equation (Q1156917)

From the author's introduction: ``This paper discusses the solution of a nonlinear differential equation of operators on a Hilbert space of the form \[ \frac{\partial}{\partial y}P(x,y) = A(Y) + B(y)P(x,y) + P(x,y)D(y) + P(x,y)C(y)P(x,y)\] with initial value \(P(x,y)\) being selfadjoint and \(A, B, C\) and \(D\) bounded and integrable. The main result is that the local solution of the above equation is a limit, in the uniform operators' topology, of a sequence of solutions of a linear differential equation''.