节点文献
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
【摘要】 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.
【Abstract】 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.
【基金】 国家自然科学基金
- 【文献出处】 东北师大学报(自然科学版) ,JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION) , 编辑部邮箱 ,1998年01期
- 【分类号】O231
- 【被引频次】1
- 【下载频次】49