  In this paper, we study the existence and uniqueness of solutions for several
classes of stochastic evolution equations with non-Lipschitz coefficients, that
is, backward stochastic evolution equations, stochastic Volterra type evolution
equations and stochastic functional evolution equations. In particular, the
results can be used to treat a large class of quasi-linear stochastic
equations, which includes the reaction diffusion and porous medium equations.
