On almost periodic differential equations
On almost periodic differential equations
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DOI：
10.1090/s0002-9904-1964-11239-8
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发表时间：
1964-11
影响因子：
1.3
通讯作者：
Richard K. Miller
中科院分区：
文献类型：
--
作者：
Richard K. Miller
不变集的概念在自治常微分方程理论中得到了广泛的应用。这个公告的目的是给一个自然和有用的推广不变集几乎周期系统。我们的结果的证明和几个应用和推广将出现在其他地方。我们考虑系统的n个一阶，概周期，常微分方程的形式
The notion of an invariant set has been widely exploited in the theory of autonomous ordinary differential equations. The purpose of this announcement is to give a natural and useful generalization of invariant sets to almost periodic systems. The proofs and several applications and extensions of our results will appear elsewhere. We consider systems of n first order, almost periodic, ordinary differential equations of the form