Boundary Value Problems For Classes Of Impulsive Differential Equations

This thesis is concered with the existence of solutions for classes of differential equations with impulses. The thesis contains four parts.Chapter 1 introduces backgrouds and significance of boundary value problems for differential equations with impulses, The main work done in this paper is introduced.In chapter 2, we deal with boundary value problems of the first order functional differentional equation with impluses, some results of the existence are obtained by using the monotone iterative technique and methods of upper and lower solutions.In chapter 3, Monch fixed point theorems is applied to investigate the existence of positive solutions for a class of second order singular differential equations with impulses in abstract spaces.Finally, applying fixed point index theorems, the existence of multiple positive solutions is established for second order singular differential equations with impulses in banach spaces. The illustative example is given to show the applicability and effectivity of the obtained results.