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Abstract:
It has been known that if all the eigenvalues of matrix A have no zero real part and f(x) is a bounded function which is small Lipschitzian, then there is a homeomorphism H of Rn sending the solutions of system x′ = Ax+f(x) onto the solutions of its linear system x′ = Ax. The conditions that f(x) is a bounded function and the eigenvalues of A have no zero real part were deleted, and it is prove that if f(x) has suitable structure, then x′ = Ax+f(x) can be linearized.
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Source :
Nonlinear Analysis, Theory, Methods and Applications
ISSN: 0362-546X
Year: 2001
Issue: 4
Volume: 43
Page: 509-525
0 . 4 0 6
JCR@2001
1 . 3 0 0
JCR@2023
JCR Journal Grade:3
Cited Count:
SCOPUS Cited Count: 5
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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