| 鲁世平,梁载涛.具偏差变元的广义平均曲率方程同宿解的存在性[J].数学研究及应用,2014,34(4):481~491 |
| 具偏差变元的广义平均曲率方程同宿解的存在性 |
| Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument |
| 投稿时间：2013-03-18 修订日期：2014-03-19 |
| DOI：10.3770/j.issn:2095-2651.2014.04.011 |
| 中文关键词: 同宿解 Mawhin 重合度拓展定理 广义平均曲率方程. |
| 英文关键词:homoclinic solution Mawhin's continuation theorem prescribed mean curvature equation. |
| 基金项目:国家自然科学基金(Grant No.11271197). |
|
| 摘要点击次数: 2488 |
| 全文下载次数: 2197 |
| 中文摘要: |
| 本文作者主要应用~Mawhin 重合度拓展定理, 先探讨了一类具偏差变元的广义平均曲率方程的辅助系统~$2kT$ 周期解的存在性, 然后得到上述~$2kT$ 周期解序列存在极限且极限就是这类具偏差变元的广义平均曲率方程的同宿解. |
| 英文摘要: |
| In this paper, by using Mawhin's continuation theorem and some analysis methods, the existence of a set with $2kT$-periodic solutions for a kind of prescribed mean curvature equation with a deviating argument is studied, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above set. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
