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带有p-Laplace算子的分数阶边值问题的特征区间(英文)
EIGENVALUE INTERVALS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH THE p-LAPLACIAN OPERATOR
【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.
【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.
【关键词】 分数阶微分方程;
p-Laplace算子;
边值问题;
【Key words】 fractional differential equation; p-Laplacian operator; boundary value problem;
【Key words】 fractional differential equation; p-Laplacian operator; boundary value problem;
【基金】 Supported by National Natural Science Foundation of China(11071014)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2015年04期
- 【分类号】O175.8
- 【下载频次】44