| 带有p-Laplace算子的分数阶边值问题的特征区间 |
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| 引用本文： | 路月峰,王亮涛,丁方允.带有p-Laplace算子的分数阶边值问题的特征区间[J].数学杂志,2015,35(4):773-778. |
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| 作者姓名： | 路月峰 王亮涛 丁方允 |
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| 作者单位： | 北京工商大学嘉华学院, 北京 101118,北京工商大学嘉华学院, 北京 101118;烟台大学数学与信息科学学院, 山东 烟台 264000,北京工商大学嘉华学院, 北京 101118;兰州大学数学与统计学院, 甘肃 兰州 730000 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11071014). |
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| 摘 要： | 本文研究了一类带有p-Laplace算子的分数阶微分方程两点边值问题.利用锥上的不动点定理,得到了这类边值问题的特征区间,推广了整数阶边值问题情形的结论.
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| 关 键 词： | 分数阶微分方程 p-Laplace算子 边值问题 |
| 收稿时间： | 2013/5/16 0:00:00 |
| 修稿时间： | 2013/7/30 0:00:00 |
EIGENVALUE INTERVALS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH THE p-LAPLACIAN OPERATOR |
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| LU Yue-feng,WANG Liang-tao and Ding Fang-yun.EIGENVALUE INTERVALS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH THE p-LAPLACIAN OPERATOR[J].Journal of Mathematics,2015,35(4):773-778. |
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| Authors: | LU Yue-feng WANG Liang-tao and Ding Fang-yun |
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| Institution: | Canvard College, Beijing Technology and Business University, Beijing 101118, China,Canvard College, Beijing Technology and Business University, Beijing 101118, China;School of Mathematics and Information Science, Yantai University, Yantai 264000, China and Canvard College, Beijing Technology and Business University, Beijing 101118, China;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | In this paper,we study a two-point boundary value problem of fractional differential equations with the p-Laplacian operator.By using a fixed-point theorem on cones,we establish eigenvalue intervals of the problem,which generalizes the conclusions in the case of integer-order boundary value problems. |
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| Keywords: | fractional differential equation p-Laplacian operator boundary value problem |
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