Anticipating integral equations

In this paper we deduce some estimates of the L-p(Omega)-norm of the Skoroh od and the forward integrals. These estimates allow us to study the existen ce of a unique solution to anticipating Volterra equations of the Skorohod and forward type. The coefficients F-i(t,s,x),t greater than or equal tos, are F-t-measurable and satisfy some differentiability conditions (in the se nse of the stochastic calculus of variations).