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| 一类带p-Laplacian算子的分数阶耦合系统在共振条件下的边值问题 | |
| 引用本文： | 程玲玲,刘文斌,叶晴晴.一类带p-Laplacian算子的分数阶耦合系统在共振条件下的边值问题[J].华东师范大学学报(自然科学版),2014,2014(3):30-39. |
| 作者姓名： | 程玲玲 刘文斌 叶晴晴 |
| 作者单位： | 1. 中国矿业大学~~理学院, 江苏~~徐州 221116; 2. 南京理工大学~~理学院, 南京 210094 |
| 基金项目： | 国家自然科学基金(11271364) |
| 摘 要： | 应用葛渭高的Mawhin延拓定理的外延理论,证明了当dim Ker M=2时解的存在性定理,其中M为构造的拟线性算子.并给出了例子,验证这个定理. |
| 关 键 词： | 分数阶微分方程 边值问题 迭合度 p-Laplacian算子 |
| 收稿时间： | 2013-04-01 |
Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance |
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| CHENG Ling-ling,LIU Wen-bin,YE Qing-qing.Boundary value problem for a coupled system of fractional differential equations with p-Laplacian operator at resonance[J].Journal of East China Normal University(Natural Science),2014,2014(3):30-39. | |
| Authors: | CHENG Ling-ling LIU Wen-bin YE Qing-qing |
| Institution: | 1. College of Science, China University of Mining and Technology, Xuzhou Jiangsu 221116, China; 2. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China |
| Abstract: | This paper gave the existence theorem of solutions with dim Ker M = 2 by the extension of Mawhin's continuation theorem due to Ge, where M is a quasi-linear operator. And an example to illustrate the theorem was also given. |
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