[1]赵 微.一类分数阶微分方程多点边值问题正解的存在性[J].四川师范大学学报(自然科学版),2020,43(03):326-332.[doi:10.3969/j.issn.1001-8395.2020.03.006]
 ZHAO Wei.Positive Solutions of Multi-point Boundary Value Problemfor a Class of Fractional Differential Equations[J].Journal of SichuanNormal University,2020,43(03):326-332.[doi:10.3969/j.issn.1001-8395.2020.03.006]
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一类分数阶微分方程多点边值问题正解的存在性()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
43卷
期数:
2020年03期
页码:
326-332
栏目:
基础理论
出版日期:
2020-05-05

文章信息/Info

Title:
Positive Solutions of Multi-point Boundary Value Problemfor a Class of Fractional Differential Equations
文章编号:
1001-8395(2020)03-0326-07
作者:
赵 微
大庆师范学院 教师教育学院, 黑龙江 大庆 163712
Author(s):
ZHAO Wei
Department of Teaching Education, Daqing Normal University, Daqing 163712, Heilongjiang
关键词:
分数阶微分方程 多点边值问题 格林函数 正解 不动点指数
Keywords:
fractional differential equation multi-point boundary value problem Green function positive solution fixed point index
分类号:
O175.8
DOI:
10.3969/j.issn.1001-8395.2020.03.006
文献标志码:
A
摘要:
讨论一类分数阶微分方程多点边值问题.首先研究其格林函数及相关性质,构造一个特殊的锥.其次通过与一个线性算子相关的第一特征值的讨论,运用不动点指数定理,得到了该边值问题正解存在的结果.最后给出一个例子用以说明定理的应用.
Abstract:
In this paper, we discuss one class of fractional differential equations with multi-point boundary value problem. First, we study the Green function and obtain its properties. Second, construct a special cone and get the existence of positive solutions under some conditions concerning the first eigenvalue of the relevant linear operator by using fixed point index theory. Finally, an example is given for the application of the theorem.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-03-16 接受日期:2018-05-28 项目基金:黑龙江省青年科学基金项目(QC2009C99)、吉林省教育厅“十三五”科学技术项目(JJKH20200235KJ)和大庆市科技计划项目(ZD-2017-49) 作者简介:赵 微(1979-),女,副教授,主要从事非线性分析的研究,E-mail:zw_19791220@163.com
更新日期/Last Update: 2020-05-05