具有左右分数阶导数和时滞的非瞬时脉冲微分方程非线性边值问题  

Nonlinear Boundary Value Problems for Non-Instantaneous Pulse Differential Equations with Left-Right Fractional Derivatives and Delays

作　　者：张雨馨 

机构地区：[1]上海理工大学理学院,上海

出　　处：《应用数学进展》2021年第4期1255-1269,共15页Advances in Applied Mathematics

摘　　要：本文研究了一类特殊的具有左右分数阶导数和时滞的非瞬时脉冲微分方程,该方程具有交叉时滞,且带有非线性边界条件。并基于上下解方法得到多个正解存在性定理。In this paper, we study a class of special non-instantaneous impulsive differential equations with left and right fractional derivatives and delays. The equations have cross delays and nonlinear boundary conditions. Based on the upper and lower solution method, we obtain the existence theorems of multiple positive solutions.

关 键 词：左右分数阶导数 时滞 非瞬时脉冲微分方程 非线性边界条件 上下解方法 

分 类 号：O17[理学—数学]