  In this paper we establish the strong existence, pathwise uniqueness and a
comparison theorem to a stochastic partial differential equation driven by
Gaussian colored noise with non-Lipschitz drift, H\"older continuous diffusion
coefficients and the spatial domain in finite interval, $[0,1]$, and with
Dirichlet, Neumann or mixed nonhomogeneous random conditions imposed on the
endpoints. The H\"older continuity of the solution both in time
  and in space variables is also studied.
