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OALib Journal期刊
ISSN: 2333-9721
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On the Existence and Uniqueness of Periodic Solutions to a Type
时滞Duffing型方程周期解的存在唯一性

Keywords: Time lag,Duffing equation,Periodic solutions,Degree
时滞
,Duffing型方程,周期解,

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Abstract:

By means of the methods presented in the topological degree theory, the existence of periodic solutions to a type of the DufRng functional differential equation x'(t) g(x(t-T(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.

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