| Rayleigh型时滞平均曲率方程的周期解问题 |
| |
| 引用本文： | 孔凡超,鲁世平.Rayleigh型时滞平均曲率方程的周期解问题[J].四川大学学报(自然科学版),2016,53(1):19-24. |
| |
| 作者姓名： | 孔凡超 鲁世平 |
| |
| 作者单位： | 安徽师范大学,安徽师范大学 |
| |
| 摘 要： | 本文讨论了一类Rayleigh型时滞平均曲率方程
并应用Mawhin重合度扩展定理我们证明了此方程至少存在一个T-周期解。
|
| 关 键 词： | 周期解 扩展定理 Rayleigh平均曲率方程 |
| 收稿时间： | 2014/9/26 0:00:00 |
| 修稿时间： | 2014/11/21 0:00:00 |
Periodic solutions for a kind of prescribed mean curvature Rayleigh equation with a deviating argument |
| |
| KONG Fan-Chao and LU Shi-Ping.Periodic solutions for a kind of prescribed mean curvature Rayleigh equation with a deviating argument[J].Journal of Sichuan University (Natural Science Edition),2016,53(1):19-24. |
| |
| Authors: | KONG Fan-Chao and LU Shi-Ping |
| |
| Institution: | Anhui Normal University |
| |
| Abstract: | In this paper, the prescribed mean curvature Rayleigh equation with a deviating argument
$$(\frac{u''(t)}{\sqrt{1+(u''(t))^2}})''+f(t,u''(t))+g(u(t-\tau(t)))=p(t)$$
is studied,and we prove that the given equation has at least one $T-$periodic solutions by using Mawhin''s continuation theorem. |
| |
| Keywords: | Periodic solutions Continuation theorem Prescribed mean curvature Rayleigh equation |
|
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
