| Rayleigh型时滞平均曲率方程的周期解问题 |
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| 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 |
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| 作者姓名： | 孔凡超 鲁世平 |
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| 作者单位： | 安徽师范大学,安徽师范大学 |
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| 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。
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| 关 键 词： | 周期解；扩展定理；Rayleigh平均曲率方程 |
| 收稿时间： | 2014-09-26 |
| 修稿时间： | 2014-11-21 |
Periodic solutions for a kind of prescribed mean curvature Rayleigh equation with a deviating argument |
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| 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 |
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| Authors: | KONG Fan-Chao and LU Shi-Ping |
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| Affiliation: | Anhui Normal University |
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| 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. |
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| Keywords: | Periodic solutions Continuation theorem Prescribed mean curvature Rayleigh equation |
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