| 无穷时滞Liénard方程的周期解(英文) |
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| 引用本文： | 彭世国,朱思铭.无穷时滞Liénard方程的周期解(英文)[J].数学研究与评论,2003,23(1):98-102. |
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| 作者姓名： | 彭世国 朱思铭 |
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| 作者单位： | 广东工业大学应用数学系,广东,广州,510090;中山大学数学系,广东,广州,510275 |
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| 基金项目： | Supported by the NNSF of China(10071097) |
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| 摘 要： | 讨论具有无穷时滞Liénard型方程x+(?2F(x))/(?x2)x+g(t,xt)=p(t)的周期解问题, 利用重合度理论得到了周期解存在的充分条件.
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| 关 键 词： | Liénard equations infinite delay periodic solutions. |
Periodic Solutions of Lienard Equations withInfinite Delay |
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| PENG Shi-guo and ZHU Si-ming.Periodic Solutions of Lienard Equations withInfinite Delay[J].Journal of Mathematical Research and Exposition,2003,23(1):98-102. |
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| Authors: | PENG Shi-guo and ZHU Si-ming |
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| Institution: | Dept. of Appl. Math.; Guangdong University of Technology; Guangzhou; China;Dept. of Math.; Zhongshan University; China |
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| Abstract: | The problem of periodic solutions for Liénard equations with infinite delay x+(?2F(x))/(?x2)x+g(t,xt)=p(t)is discussed by using Mawhin's,coincidence degree theory. Some new results on the existence of periodic solutions are derived. |
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| Keywords: | Lienard equations infinite delay periodic solutions |
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