摘要: |
主要利用Mawhin延拓定理研究一类二阶具偏差变元微分方程x″(t)+f(t,x(t),x(t-τ0(t)),x′(t))+β(t)g(x(t-τ1(t)))=p(t)的周期解问题,得到了存在周期解的两个充分条件. |
关键词: Mawhin延拓定理 偏差变元 周期解 |
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Periodic Solutions of the Second Order Differential Equationwith Deviating Arguments |
DENG Rui juan
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Abstract: |
Using the Mawhin continuation theorem, this paper studies a class of periodic solutions of the second order differential equation with deviating arguments x″(t)+ f(t,x(t),x(t-τ0(t)),x′(t))+β(t)g(x(t-τ1(t)))=p(t), and two sufficient conditions of the periodic solutions are obtained. |
Key words: the Mawhin continuation theorem deviating arguments periodic solutions |