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Characterizations of Dichotomies of Evolution Equations on the Half-Line

✍ Scribed by Nguyen Van Minh; Nguyen Thieu Huy

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
134 KB
Volume
261
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we investigate the characterization of dichotomies of an evolution family = U t s tβ‰₯sβ‰₯0 of bounded linear operators on Banach space X. We introduce operators I 0 and I X on subspaces of L p R + X using the integral equation u t = U t s u s + t s U t ΞΎ f ΞΎ dΞΎ. The exponential and ordinary dichotomies of are characterized by properties of I 0 I X .

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