一类时变疾病控制系统解的唯一性定理

Uniqueness Theorem of Solution for a Class of Time-Varying Illness Control Systems

研究了一类由积分－偏微分方程组非齐次初边值问题所支配的时变疾病控制系统．用初值函数给出了系统的解的先验估计，从而证明了系统在索伯列夫空间Ｈｋ，ｋ（ＱＴ）×Ｈｋ，ｋ（ＱＳＴ）（ｋ≥１）中的正则解的唯一性．此结果可为疾病控制提供严格的理论基础．

The present paper researches a class of time varying illness control systems governed by non-homgeneous initial and boundary value problem for the system of intgro-partial differential equations. It given a priori estimate on the solution for the system by initial value function and then proved the uniqueness of the regular solution in Sobolev spaces H k,k (Q T.)×H k,k (Q ST )(k≥1) for the system. The results may provide a strict theoretical bsais for the illness control.