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《Journal of the Graduate School of the Chinese Academy of Science》 1997-01
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On the Existence of Periodic Solution for a Kind of Second Order Nonautonomous Systems

Shi Yuanjun (Institute of Mathematics,Academia Sinica,Beijing 100080)  
On the basis of several theorems concerning the second order system and directly based on the properties of systematic Lyapunov function, we establish an existence theorem which may be used to distinguish the existenceness of periodic solution, then, in accordance with a kind of second order nonautonomous and nonlinear systems, we construct some suitable Lyapunov function and study the existence property of periodic solution of these system.
【CateGory Index】: N941
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