Banach空间微分方程初值问题

INITIAL VALUE PROBLEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES

利用半序理论及单调迭代方法研究了 Banach空间中非线性微分方程初值问题解的存在惟一性以及解的迭代逼近与误差估计 .

By using partial order method and monotone iterative technique,some existence and uniqueness theorems of solutions for initial value problem of ordinary differential equations in Banach spaces are given.