J4 ›› 2010, Vol. 48 ›› Issue (02): 229-230.
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WEI Yuanhong1, LIU Dong2
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The periodic solutions for second order differential equations were investigated by means of the Schauder’s fixed point theorem. The existence and uniqueness of periodic solutions are established when the function f(t,x,x′) is continuously differentiable. Furthermore, under the condition that the right\|handfunction is only continuous, we have established the sufficient conditions for the existence of periodic solutions.
Key words: periodic solutions, Schauder’s fixed point theorem, existence, uniqueness
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WEI Yuan-Hong, Liu-Dong. Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations[J].J4, 2010, 48(02): 229-230.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2010/V48/I02/229
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