《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (10): 57-66.

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### 具p-Laplace算子分数阶非齐次边值问题正解的存在性

1. 上海理工大学理学院, 上海 200093
• 发布日期:2019-10-12
• 作者简介:宋君秋(1993— ), 女, 硕士研究生, 研究方向为常微分方程理论与应用. E-mail:498711238@qq.com*通信作者简介:贾梅(1963— ), 女, 硕士, 副教授, 研究方向为常微分方程理论与应用. E-mail:jiamei-usst@163.com
• 基金资助:
国家自然科学基金资助项目(11171220)

### Existence of positive solutions for fractional nonhomogeneous boundary value problem with p-Laplacian

SONG Jun-qiu, JIA Mei*, LIU Xi-ping, LI Lin

1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
• Published:2019-10-12

Abstract: We study the existence of positive solutions for integral boundary value problem of fractional p-Laplacian equation with disturbance parameters. According to the properties of integral kernel and using the cone expansion and cone compression fixed point theorem and the super-linear and sub-linear conditions, the sufficient conditions of existence and nonexistence of positive solutions for the boundary value problem are obtained. The conclusions show the impact of parameters on the existence of positive solutions. Finally, we give some examples to illustrate our main results.

• O175.8
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