p-拉普拉斯时滞平均曲率方程的同宿解(英)

孔凡超; 李迅; 鲁世平

doi:10.3969/j.issn.1000-5641.2016.04.006

p-拉普拉斯时滞平均曲率方程的同宿解(英)

doi: 10.3969/j.issn.1000-5641.2016.04.006

1.
湖南师范大学数学系, 长沙 410081;
2.
安徽师范大学数学计算机科学学院, 安徽芜湖241000;
3.
南京信息工程大学数学与统计学院, 南京 210044

基金项目:

国家自然科学基金(11271197)

详细信息

通讯作者:
孔凡超, 男, 硕士研究生, 研究方向为泛函微分方程. E-mail: fanchaokong88@sohu.com.

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- 文章访问数: 226
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- 被引次数: 0
出版历程
- 收稿日期: 2015-06-09
- 刊出日期: 2016-07-25

Homoclinic solutions for prescribed mean curvature p-Laplacian equations with delays

1.
Department of Mathematics, Hunan Normal University, Changsha 410081, China;
2.
School of Mathematics and Computer Science, Anhui Normal University, Wuhu Anhui 241000, China;
3.
College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

摘要

摘要: 本文运用Mawhin重合度拓展定理和一些分析方法研究了一类Rayleigh型 p-拉普拉斯时滞平均曲率方程 2kT-周期解的存在性, 证明了周期解序列存在极限, 且极限点就是所研究方程的同宿解. 最后, 我们给出例子来验证文章结论的有效性.
- 平均曲率方程 /
- 同宿解 /
- 拓展定理 /
- p-拉普拉斯方程 /
- 时滞
Abstract: In this paper, by applying Mawhins continuation theorem, some sufficient conditions on the existence of 2kT-periodic solutions for a kind of prescribed mean curvature Rayleigh p-Laplacian equation with delays are given. Then the existence of nontrivial homoclinic solutions for prescribed mean curvature Rayleigh p-Laplacian equation with delays is obtained. At last, an example is also given to illustrate the application of our main results.
- prescribed mean curvature equation homoclinic solutions continuation theorem p-Laplacian equation delay /

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参考文献(1)

[1]

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