The Periodic Solutions Of Periodic System And Their Stability

In this paper we are mainly discussing the problems about periodic solution of periodic system.In the first chapter, we not only conclude some results on the existenc of periodic solution which are attributed to Massera,we also generalize them to the high-dimmension space. At last we apply degree theory to studying the conditions for the existence of periodic solution.The second chapter is devoted to the topic on the stability of periodic solutions.Our tool is still the theory of topological degree.