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On Roughness of Exponential Dichotomy

โœ Scribed by Ning Ju; Stephen Wiggins

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
262
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We present new perturbation theorems on the roughness of exponential dichotomy, which improve previous results. The proofs given here are also much simpler compared with previous ones. The new results provide significant improvements of existing results in the case where the operator A t is unbounded for t โˆˆ J. This is precisely the situation that is of interest from the point of view of the applications in lobe dynamics. The results are also valid in Banach spaces and useful for general purposes.

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