时滞Duffing型方程周期解的存在唯一性

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On the Existence and Uniqueness of Periodic Solutions to a Type

Liu Xiping; Jia Mei; Ren Rui

College of Science, University of Shanghai for Science and Technology, Shanghai 200093

Received:2005-01-28 Revised:2006-04-13 Online:2007-02-25 Published:2007-02-25
Contact: Liu Xiping

Abstract

Abstract: By means of the methods presented in the topological degree theory, the existence of periodic solutions to a type of the Duffing functional differential equation x''(t)+g(x(t - τ(t, x(t))))=f(t) with complex time lag is studied, sufficient and necessary condition of the equation with periodic solutions is obtained, and the existence and uniqueness of periodic solutions is given when the time lag is constant, the instance is given to the problem.

Key words: Time lag, Duffing equation, Periodic solutions, Degree

CLC Number:

34B13

Liu Xiping; Jia Mei; Ren Rui. On the Existence and Uniqueness of Periodic Solutions to a Type[J].Acta mathematica scientia,Series A, 2007, 27(1): 37-044.

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On the Existence and Uniqueness of Periodic Solutions to a Type

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