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一致概自守函数及其性质 被引量:1

Uniformly Almost-Automorphic Functior and Its Properties
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摘要 概自守函数是殆周期函数的扩张,其性质虽比殆周期函数的性质差.但比回复函数的性质好.本文把概自守函数拓广为一类更广泛的一致概自守函数。並利用极限定理和对角线法研究它的性质,得到好的结果. Almost-automorphic function is known as the extension of almost periodic function which is again the extension of periodic function.The pro- perty of almost-automorphic function is“worse”than that of almost periodic function but“better”thanthat of recurrent function.The authors extend almost-automorphic function to uniformly almost automorphic function which is more extensive;and then study its properties by making use of limit theorem and diagonal method.
出处 《华侨大学学报(自然科学版)》 CAS 1991年第2期147-153,共7页 Journal of Huaqiao University(Natural Science)
关键词 殆周期函数 扩张 一致 概自守函数 almost periodic function extension limit theorems uniformly almost automorphic function diagonal method
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  • 1M. Balachandra,P. R. Sethna. A generalization of the method of averaging for systems with two time scales[J] 1975,Archive for Rational Mechanics and Analysis(3):261~283

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