Comparison Theorems for Almost Periodic Functions
Comparison Theorems for Almost Periodic Functions
复制标题
DOI：
10.1112/jlms/s2-1.1.11
复制
发表时间：
1969
影响因子：
1.2
通讯作者：
M. L. Cartwright
中科院分区：
文献类型：
--
作者：
M. L. Cartwright
1. 在试图证明涉及 uap 向量函数的常微分方程组的一致几乎周期 (uap) 解的某些结果的过程中，我发现有必要在两个 uap 向量函数的平移数和指数之间建立某些一般关系。其中一些结果是众所周知的定理的明显结果，但有些结果似乎具有内在的意义，并且似乎值得对这些关系进行尽可能完整的审查。定理 3 和 6 是应用中最需要的定理，但定理 2 和 4 也相关。
1. In the course of trying to prove certain results about the uniformly almost periodic (uap) solutions of systems of ordinary differential equations involving uap vector functions I found it necessary to establish certain general relationships between the translation numbers and the exponents of two uap vector functions. Some of the results are obvious consequences of well-known theorems, but some seem to be of intrinsic interest, and it seemed worth while to make as complete a review of such relationships as possible. Theorems 3 and 6 are those most needed in the applications, but Theorems 2 and 4 are also relevant.