Existence Of Solutions For Integral Differential Boundary Value Problems

This paper is divided into two sections.Firstly,we study the existence result for second-order impulsive differential equations with quasi derivative and integral boundary conditions. By using the fixed point theory in cones, we obtains the sufficient conditions for the existence of positive solutions. The difference from the others, the impulsive conditions and the quasi derivative are added.Secondly,we deal with the existence of positive solutions of third-order impulsive dif-ferential equation with integral boundary conditions in Banach spaces. The arguments are also based upon the fixed point theory in cones. First of all,the expression of Green func-tion and the nature of Green function are obtained.Assuming reasonable conditions and using the fixed point theory in cones, we obtains the sufficient conditions for the existence of positive solutions.