带有积分边界条件的二阶n维脉冲微分系统的3个正解的存在性

In this paper, the existence of three positive solutions for second-order n-dimensional impulsive differential system with integral boundary conditions is studied. Firstly, by using the transformation, the second-order impulsive differential system is transformed into a second-order differential system without impulse. Then, by means of Leggett-Williams\'fixed point theorem, we give the sufficient conditions for the existence of three positive solutions of second-order impulsive differential system. Finally, an example is included to verify this conclusion.