Periodic solutions of the higher-dimensional non-autonomous systems

Authors:
Jinde Cao;Qiong Li;Shidong Wan
Affiliations:
Department of Applied Mathematics, Southeast University, Nanjing 210096, People's Republic of China;Department of Applied Mathematics, Southeast University, Nanjing 210096, People's Republic of China;Adult Education College, Yunnan University, Kunming 650091, People's Republic of China
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system x?? = A(t,x)x + g(t,x) and new stationary oscillation theorem of the periodic system x?? = 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.