The Existence of Almost Periodic Solution and Periodic Solutions
Citation：
Lin Faxing.The Existence of Almost Periodic Solution and Periodic Solutions[J].Chinese Annals of Mathematics B,1990,11(4):525~535
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Authors：
Lin Faxing;
Abstract：
In this paper, it is obtained that a periodic system has an almost periodic solution if it has a solution x=\phi(t) uniformly stable with respect to \Omega_\phi ,and has a periodic solution if x=\phi(t) is weakly uniformly asymptotically stable with respect to \Omega_\phi. Meanwhile, it is also obtained that a uniformly almost periodic system has an almost periodic solution if it has a solution x=\phi(t) uniformly asymptotically stable with respect to A_\phi^j.
