ON THE EXISTENCE THEOREM OF NON-TRIVIAL PERIODIC SOLUTION OF PERIODIC SYSTEMS OF HIGH ORDER

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作者：
赵晓强
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来源：
Acta Mathematicae Applicatae Sinica(English Series) | 1990年 / 01期
关键词：
刁刀; PER; TR; ON THE EXISTENCE THEOREM OF NON-TRIVIAL PERIODIC SOLUTION OF PERIODIC SYSTEMS OF HIGH ORDER;
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摘要：
In this paper, we consider nonlinear and nonautonomous systems with the trivial solution:dx/dt=f(t, x), x∈R~nwhere f(t+ω,x)+f(t, x), f(t, 0)=0. By using the theory of Brouwer topological degree, we obtainthe existence theorem of nontrivial ω-periodic solution. Finally the applied example of the theoremis cited.
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页码：40 / 43
页数：4
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