中文摘要：

利用集值映象不动点存在性方法讨论当非线性函数g：[b，b＋L]×Ω→R满足某些条件时，微分方程x′（t）＋g（t，x（t））=0的解的存在性及解的性质等问题．

英文摘要：

In this paper, by using a fixed point method of set-valued mapping, we discuss the differential equation x′ （t）＋g（t,x（t）） = 0. The existence of solutions and their properties of this equation is obtained if the function g. [b,b＋L] ×Ω →R satisfy certain conditions.