Bounded Variational Solutions For Measure Differential Equations

The measure differential equations have been discussed by many authors. Basedon this, the solution for measure differential equation has been discussed in thispaper, then the conditions to the measure differential equation have been generalizedand give the proof by using the Kurzweil generalized differential equation. Thelocal existence and uniqueness theorems of bounded variation solutions for measuredifferential equations are established. These results are an essential generalizationof Kurzweil generalized differential equation.This paper is divided into three parts. We give some basic knowledge in ifrstpart; in second part we learn the solution for measure differential equation; thenin third part discuss the existence and uniqueness theorem of solution for measuredifferential equation.