Banach空间含间断项微分方程初值问题解的存在唯一性

Existence and Uniqueness of Nonlinear Ordinary Differential Equations with Discontinuous Terms in Banach Spaces

讨论了Banach空间含间断项微分方程初值问题解的存在性,在没有紧型的条件下,通过建立比较定理,利用该比较定理和单调迭代方法,获得了解的存在唯一性结果.

By using comparison theorem and monotone iterative techniques, the author obtains the existence and uniqueness of nonlinear ordinary differential equations with discontinuous terms in Banach Spaces.