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NOTES ON GENERALIZED EXPONENTIAL DICHOTOMIES

NOTES ON GENERALIZED EXPONENTIAL DICHOTOMIES
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摘要 Based on the theory of generalized exponeatial dichotomies, some typical nonautonomouslinear systems with time-translation parameters or with time-scale parameters are discussed.Conditions of parameters are given to determine by spectral gaps the generalized exponentialdichotomies of those systems and their local L'-limit systexns. These conclusions are applied tosrvcalled SVC systems and HFO systems for their stability. Based on the theory of generalized exponeatial dichotomies, some typical nonautonomouslinear systems with time-translation parameters or with time-scale parameters are discussed.Conditions of parameters are given to determine by spectral gaps the generalized exponentialdichotomies of those systems and their local L'-limit systexns. These conclusions are applied tosrvcalled SVC systems and HFO systems for their stability.
作者 张伟年
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1996年第4期384-392,共9页 应用数学学报(英文版)
关键词 Generalized exponential dichotomy SVC system HFO Bystem asymptotic stability Generalized exponential dichotomy, SVC system, HFO Bystem,asymptotic stability
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