| 具偏差变元的广义平均曲率方程同宿解的存在性 |
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| 引用本文： | 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. |
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| 作者姓名： | 鲁世平 梁载涛 |
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| 作者单位： | 南京信息工程大学数理学院, 江苏 南京 210044;安徽师范大学数学计算机科学学院, 安徽 芜湖 241003 |
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| 基金项目： | 国家自然科学基金(Grant No.11271197). |
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| 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.
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| 关 键 词： | 平均曲率 偏差 方程 连续性定理 解的存在性 周期 极限 |
| 收稿时间： | 2013/3/18 0:00:00 |
| 修稿时间： | 2014/3/19 0:00:00 |
Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument |
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| Shiping LU and Zaitao LIANG.Homoclinic Solutions for a Class of Prescribed Mean Curvature Equation with a Deviating Argument[J].Journal of Mathematical Research with Applications,2014,34(4):481-491. |
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| Authors: | Shiping LU and Zaitao LIANG |
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| Institution: | College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China;Department of Mathematics, Anhui Normal University, Anhui 241000, P. R. China |
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| Abstract: | 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. |
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| Keywords: | homoclinic solution Mawhin's continuation theorem prescribed mean curvature equation |
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