The Existence Of Positive Solution About Impulsive Boundary Value Problems In Banach Space

This dissertion is composed by three parts.The impulsive boundary value prob-lems about the existence of positive solution in the Banach sapce are Mainly studied.The first part briefly introduced the research background and the present research situation of the differential equation and the impulsive Differential equation multi-spot boundary value problem as well as the main job of this dissertion.In the second part, by use of cone-cone tensile compression fixed point theorem,the existence of solutions about a class of impulsive differe-ntial equations of second-order Sturm-Liouville boundary value problem is discussed in Banach Spaces. The sufficient condition about the existence of positive solutions and a practial application example is given. The result is new.In the third part, the existence of positive solutions about a class of Impulsive differential equations of second-order three-points boundary value problem is discussed in Banach Spaces. The sufficient condition about the existence of one or two positive solutions is given.