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概周期解弱一致渐近稳定与一致渐近稳定的等价性

EQUIVALENCE OF WEAKLY UNIFORMLY ASYMPTOTIC STABILITY AND UNIFORMLY ASYMPTOTIC STABILITY OF ALMOST PERIODIC SOLUTIONS
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摘要 Scifert.G在文[4]中证明了概周期系统零解的弱一致渐近稳定等价于一致渐近稳定。本文推广这个结论,证明对于概周期系统而言,它的概周期解的弱一致渐近稳定与一致渐近稳定是等价的。 In paper[4], G. Seifert proved that the weakly uniformly asymptotic stability of zeao solution of almost periodic systems is equivalent to the uniformly asymptotic stability. This paper extends above conclusion, that is, provcs that the weakly uniformly asymptotic stability of almost periodic solution of almost periodic systems is equivalent to the uniformly asymptotic stability.
作者 钱传喜
机构地区 扬州师院数学系
出处 《扬州师院学报(自然科学版)》 CSCD 1989年第2期11-15,共5页
关键词 概周期系统 概周期解 稳定性 等价 Almost periodic systems Almost periodic solution Uniformly asymptotic stability Weakly uniformly asymptotic stability
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