Periodic solutions of the higher-dimensional non-autonomous systems

摘要

In this paper, the new existence theorem, unique theorem of periodic solution of the periodic systemẋ=A(t,x)x+g(t,x)and new stationary oscillation theorem of the periodic systemẋ=f(t,x)+g(t,x)are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.