一类弱耦合动力系统的参数识别问题

Parameter identification problem for a weak coupled dynamic system

研究一类弱耦合反应—扩散动力系统的参数识别问题 .通过构造上下解 ,证明了反应—扩散方程组解的存在惟一性 ;给出了求解参数识别问题的最优化系 ,从而可以选取适当的梯度法或者共轭梯度法 。

A parameter identification problem for a weak coupled reaction\|diffusion dynamic system is considered in this paper.By constituting the upper and lower solutions, the existence and uniqueness result for solutions of the reaction\|diffusion equations is proved.The optimal system of the solutions to a parameter identification problem is established on the optimization methods of functional space,therefore,a suitable gradient method or conjugate gradient method can be employed to realize the identification of parameters in the coupled system.$$$$