| As a powerful tool of mathematical research,differential inequality has great signifi-cance in the study of mathematics.In recent years,there are many research in differential inequality.This thesis is to establish a new version of differential inequality on time scales.The paper includes three chapters.In chapter 1,briefly introduce the research background,and we give some lemmas and destinations used in this dissertation.In chapter 2,This chapter is to apply differential inequality to study the nonau-tonomous predator-prey model of existence of periodic solutions.In chapter 3,for a differential equations with some special structure,we prove that the nonlinear system is topologically conjugated to its linear parts. |