f(t,x(t))是多项式型的Sturm-Liouville算子方程的解与控制

Solution and control of system equation by sturm-Liouville operator of multinomial f(t,x(t))

为研究f(t,x(t))是多项式型的Sturm-Liouville方程的解与控制问题,利用一类边值问题的解的存在性定理,在L2(a,b)空间中讨论了非线性方程系统的最优控制问题,给出了一个系统最优控制元的存在性定理。

Intended for working on the solution and control of the system equation by f（t,x（t）） which is multinomial of Sturm-Liouville operater, this paper seeks to study the optimal control of nonlinear equation system in space L^2（a,b ） by the existence theorem of solution, and gives the existence theorem of optimal control element on this system.