一类微分方程渐近概周期解的存在性

The Existence of Asymptotical Almost Periodic Solutions for a Class of Differential Equations

利用压缩映射原理,研究了自变数镜射微分方程x(。t)+ax(t)+bx(-t)=f(t,x(t),x(-t)),b≠0,t∈R的渐近概周期解的存在唯一性.

Using the Banach contraction mapping theory, we investigate the existence and uniqueness of asymptotical almost periodic solutions for differential equations with reflection of the argument x（t）＋ax（t）＋bx（-t）=f （t,x（t） ,x（-t） ） , b≠0,t∈ R.