$T$-maps connected with Hartree's equation

The singular potential in Hartree's equation is replaced by a converging almost-everywhere sequence of bounded functions. The solutions of the corresponding equations which are nonlinear equations of Hartree type are represented in the form of $T$-maps. The concept of a $T$-map was introduced earlier by Maslov. The strong convergence of a sequence of $T$-maps on a set dense in $L_2(R^3)$ is proved by the method of analytic continuation.