| 一类具偏差变元Rayleigh方程周期解的存在性 |
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| 引用本文： | 鲁世平,葛渭高. 一类具偏差变元Rayleigh方程周期解的存在性[J]. 数学进展, 2005, 34(4): 425-432 |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | 1. 安徽师范大学数学系,芜湖,安徽,241000
2. 北京理工大学数学系,北京,100081 |
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| 基金项目： | Sponsored by the NSFC(No. 19871005) and the Natural Science Foundation of Anhui Province of China (No. 2002kjl33) |
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| 摘 要： | 作者研究一类具偏差变元Ralyleigh方程周期解的存在性问题,利用重合度拓展定理得到了周期解存在性结论.有意义的是本文周期解先验界估计的方法与已有的工作均不相同.
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| 关 键 词： | 周期解 拓展定理 偏差变元 Rayleigh方程 |
| 文章编号： | 1000-0917（2005）04-0425-08 |
| 收稿时间： | 2003-02-28 |
| 修稿时间： | 2003-11-18 |
On the Existence of Periodic Solutions to a Kind of Rayleigh Equation With a Deviating Argument |
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| LU Shi-ping,GE Wei-gao. On the Existence of Periodic Solutions to a Kind of Rayleigh Equation With a Deviating Argument[J]. Advances in Mathematics(China), 2005, 34(4): 425-432 |
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| Authors: | LU Shi-ping GE Wei-gao |
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| Abstract: | By employing the continuation theorem of coincidence degree theory, the authors obtain some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. The significant is that the methods in this paper to estimate a priori bounds of periodic solutions are different from the corresponding ones of the past work. |
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| Keywords: | periodic solution continuation theorem deviating argument Rayleigh equation |
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