Banach空间一阶常微分方程终值问题解的存在唯一性

Existence and uniqueness of the solution of terminal value problem for first-order ordinary differential equation in Banach space

研究了Banach空间一阶非线性常微分方程的终值问题 .采用单调迭代方法和适当的迭代程序 ,在较弱的条件下 ,获得了解的存在唯一性 。

The terminal value problem of a nonlinear first order ordinary differential equation is discussed in Banach space.By use of the monotone iterative technique and proper iterative processor,the existence and uniqueness of the solution are obtained,which improves and extends some known results.