LYU Hongpeng,HOU Chengmin*.Existence of positive solutions for fractional differential equationinvolving integral boundary conditions with p -Laplacian operator[J].Journal of Yanbian University,2019,45(02):95-102.
带有积分边界条件的p -Laplacian分数阶微分方程边值问题正解的存在性
- Title:
- Existence of positive solutions for fractional differential equation involving integral boundary conditions with p -Laplacian operator
- 文章编号:
- 1004-4353(2019)02-0095-08
- 关键词:
- 正解; p -Laplacian; 格林函数
- Keywords:
- positive solution; p -Laplacian; Green's function
- 分类号:
- O175.6
- 文献标志码:
- A
- 摘要:
- 研究一类带有p -Laplacian算子的分数阶微分方程的边值问题.首先给出了边值问题解的表达式,并分析了表达式中的格林函数的性质; 然后利用锥上的Guo -Krasnosel'skii不动点定理证明了该边值问题正解的存在性.
- Abstract:
- In this paper, the fractional boundary value problem with p -Laplacian operator is discussed. Firstly, the expression of the solution of the boundary value problem is given, the properties of Green's function in the expression of solution are analyzed. Then, by using the Guo-Krasnosel'skii fixed-point theorem on the cone, we obtain the existence of the positive solution of the boundary value problem.
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相似文献/References:
[1]孙明哲,韩筱爽.一类分数阶q-差分边值问题的正解[J].延边大学学报(自然科学版),2013,39(04):252.
[2]林美琳.一类含不定非线性项椭圆方程的正解[J].延边大学学报(自然科学版),2022,(04):327.
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备注/Memo
收稿日期: 2018-11-26
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分理论及其应用.