Banach空间常微分方程初值问题的广义整体解

Generalized global solutions on initial value problems for ordinary differential equations in Banach spaces

研究了Banach空间一阶非线性常微分方程初值问题.当f(t,u)满足弱Carath啨odory条件时,利用单调迭代方法和适当的迭代程序,获得了广义整体解的存在唯一性结果.

The initial value problem of a nonlinear firstorder ordinary differential equation is discussed in Banach spaces.Let f(t,u) satisfy weak Carathéodory conditions,by use of the monotone iterative technique and proper iterative process,the existence and uniqueness of the generalized global solution are obtained.