考虑高维非自治系统x=A(t,x)x+g(t,x)的概周期解的存在性和稳定性,通过引进实对称有界正定矩阵,利用指数型二分性和稳定性有关理论得到了上述系统在一定的条件下存在着唯一指数型渐进稳定的概周期解,得到了新结果.
Higher dimensional nonautonomous system x = A ( t, x) x + g ( t, x) is considered. By using real symmetric bounded positive matrix, exponential the existence and exponentially asymptotic stability of the results we obtain here generalize the existed results dichotomy and theories of stability, we obtain almost periodic solutions for above system. The The results are efficient and easily testified.