The existence and exponentially asymptotic stability of almost periodic solutions of higher dimensional nonautonomous system

Higher dimensional nonautonomous system.x=A(t,x)x+g(t,x) is considered.By us-ing real symmetric bounded positive matrix,exponential dichotomy and theories of stability,we obtain the existence and exponentially asymptotic stability of the almost periodic solutions for above system.The results we obtain here generalize the existed results.The results are efficient and easily testified.