The dynamic behaviors of equipment maintenance system,which was under multiphase mission and was subjected to more than one maintenance strategies,were discussed.With analyzing the state evolution,the partial differential equations of state probability density were built up with supplementary variable method,which can be used to portray the dynamic behaviors of maintenance system.The performance indexes of maintenance system,including equipment availability and maintenance frequency,were calculated,and the optimal minimal repair numbers were determined.Dealing with the two levels,micro and macro,of maintenance system,the method can be used to model and analyze the operation process of maintenance system.The information about the system state probability density can be used to explain the mechanism of maintenance system, which is critical to the optimization and control of maintenance system.