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论文摘要

一类分数阶脉冲微分方程边值问题正解的存在唯一性

Existence and uniqueness of positive solutions for a class of fractional impulsive differential equations with boundary value problems

作者:郑凤霞(四川文理学院数学学院);古传运(四川文理学院数学学院)

Author:ZHENG Feng-Xia(School of Mathematics, Sichuan University of Arts and Science);GU Chuan-Yun(School of Mathematics, Sichuan University of Arts and Science)

收稿日期:2018-09-28          年卷(期)页码:2019,56(4):600-606

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:分数阶脉冲微分方程;边值问题; 正解;存在唯一性

Key words:Fractional impulsive differential equation; Boundary value problem; Positive solution; Existence and uniqueness

基金项目:四川省教育厅科研项目(17ZB0370,18ZB0512)

中文摘要

本文利用混合单调算子的不动点定理得到了一类分数阶脉冲微分方程边值问题存在唯一正解的新判据.

英文摘要

By using the fixed point theorem for mixed monotone operator, a new criterion for the existence and uniqueness of positive solutions of a class of fractional impulsive differential equations with boundary conditions is established.

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