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Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space
Peter W. Bates
Kening Lu
Chongchun Zeng
出版
American Mathematical Soc.
, 1998
主題
Mathematics / General
Mathematics / Applied
Mathematics / Differential Equations / General
ISBN
0821808680
9780821808689
URL
http://books.google.com.hk/books?id=XZfTCQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
Since the early 1970s, mathematicians have tried to extend the work of N. Fenichel and M. Hirsch, C. Pugh and M. Shub, to give conditions under which invariant manifolds for semi-flows persist under perturbation of the semiflow. This work provides natural conditions and establishes the desired theorem. The technique is geometric in nature, and in addition to rigorous proofs, an informal outline of the approach is given with useful illustrations.