高阶Riemann-Liouville型分数阶脉冲微分方程积分边值问题的正解

Positive Solutions for a High Order Riemann-Liouville Type Fractional Impulsive Differential Equation Integral Boundary Value Problem

该文研究了具有半正非线性项和脉冲项的高阶Riemann-Liouville型分数阶脉冲微分方程积分边值问题.利用不动点指数理论,在超线性增长和次线性增长等条件下获得了该问题正解的存在性结论,推广了近期这方面一些已有的成果.

In this paper,we study a high order Riemann-Liouville type fractional impulsive differential equation integral boundary value problem involving semipositone the nonlinear and impulsive terms.By virtue of the fixed point index,we obtain the positive solutions theorems under some appropriate superlinear and sublinear growth conditions.The results here extend the existing study.