| 一类Rayleigh型 $p-$Laplacian平均曲率方程周期解存在唯一性 |
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| 引用本文： | 陈文斌.一类Rayleigh型 $p-$Laplacian平均曲率方程周期解存在唯一性[J].四川大学学报(自然科学版),2016,53(6):1195-1201. |
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| 作者姓名： | 陈文斌 |
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| 作者单位： | 武夷学院，数学与计算机学院 |
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| 基金项目： | 武夷学院青年教师科研项目(No:XQ201305) |
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| 摘 要： | 本文运用重合度理论和一些新的分析方法探讨了一类Rayleigh型p-Laplacian平均曲率方程(φp(x′(t)/(1+(x′(t))2)~(1/2)))′+f(x′(t))+g(x(t-τ(t)))=e(t)周期解存在性与唯一性问题,得到了一些相应的新结果并举例说明其结果的有效性.
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| 关 键 词： | 周期解 平均曲率 重合度定理 Rayleigh $p-$Laplacian |
| 收稿时间： | 5/6/2015 12:00:00 AM |
| 修稿时间： | 2015/7/12 0:00:00 |
Existence and uniqueness of periodic solutions for prescribed mean curvature Rayleigh $p-$Laplacian equation |
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| CHEN Wen-Bin.Existence and uniqueness of periodic solutions for prescribed mean curvature Rayleigh $p-$Laplacian equation[J].Journal of Sichuan University (Natural Science Edition),2016,53(6):1195-1201. |
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| Authors: | CHEN Wen-Bin |
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| Institution: | School of Mathematics and Computer Science, Wuyi University |
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| Abstract: | In this paper, by using the continuation theorem of coincidence degree theory and some analysis methods, we study
the existence and uniqueness of periodic solutions for prescribed mean curvature Rayleigh $p-$Laplacian equation
\begin{displaymath}
\left(\varphi_{p}\left(\frac{x''(t)}{\sqrt{1+(x''(t))^{2}}}\right)\right)''+f(x''(t))+g(x(t-\tau (t)))=e(t).
\end{displaymath}
Some new results are obtained. Furthermore, a numerical example demonstrates the validity of the main results. |
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| Keywords: | Periodic solution Prescribed mean curvature Continuation theory Rayleigh $p-$Laplacian |
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