  In a recent article the most general non-uniform reaction-diffusion models on
a one-dimensional lattice with boundaries were considered, for which the time
evolution equations of correlation functions are closed and the stationary
profile can be obtained using a transfer-matrix method. Here models are
investigated for which also the equation of relaxation towards the stationary
profile could be solved through a similar transfer-matrix method. A
classification is given, and dynamical phase transitions are studied.
