一类常微分方程组两点边值问题及应用

ONE KIND OF TWO POINT BOUNDARY VALUE POBLEMS ASSOCIATED WITH ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATION

考虑一类二元一阶常微分方程组的两点边值问题．在一定的单调条件下，给出了任定长度区间上方程组解的存在唯一性结果，并应用于线性二次指标最优控制问题导出的哈密顿系统。

One kind of two point boundary value problems with ordinary differential equations is considered.At first,the existence and uniqueness theorem in an arbitrarily large time duration under some monotonicity assumptions is given.Then this result is applied in the Hamilton systems obtained by linear quadratic optimization control problem.At last,an important property of this kind of ordinary differential equations i.e. comparison theorem is given