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Strongly topological linearization with generalized exponential dichotomy

✍ Scribed by Liangping Jiang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
233 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis


It has been proved that if x = A(t)x has a generalized exponential dichotomy and f (t, x) satisfies certain conditions, then the nonlinear system x = A(t)x + f (t, x) is topologically equivalent to its linear system x = A(t)x. In this paper, we prove that if the condition

x, where M is some positive number and a(t) is the eigenfunction of the generalized exponential dichotomy, and therefore the corresponding solutions of x = A(t)x + f (t, x) and x = A(t)x have the same stability.


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