The Bounded Variation Solutions For Semilinear Measure Differential Equations

In this paper,we discuss bounded variation solutions for a class of semilinear measure differential equations as follows(?)Under certain conditions,by establishing the equivalent relationship between this type of semilinear measure differential equations and generalized ordinary dif-ferential equations,the existence and uniqueness theorems of solutions for this class of semilinear measure differential equations are obtained in Kurzweil integral set-ting.Moreover,by using the stability theories of generalized ordinary differential equations,the stability theorems for above semilinear measure differential equations are obtained.