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Tai Nguyen So - Vietnam National University, Ha Noi - VNU >
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http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12219
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| Title: | Existence and robustness of exponential dichotomy of linear skew-product semiflows over semiflows |
| Authors: | Huy N.T. |
| Keywords: | Cocycles
Evolution semigroups
Exponential dichotomy
Exponential stability
Flows
Integral equation
Linear skew-product semiflow
Semiflows |
| Issue Date: | 2007 |
| Publisher: | Journal of Mathematical Analysis and Applications |
| Citation: | Volume 333, Issue 2, Page 731-752 |
| Abstract: | In this paper we investigate the exponential dichotomy of linear skew-product semiflows over semiflows by considering the operators generated by the integral equation related to strongly continuous cocycles over metric spaces acting on Banach bundles. We characterize the existence of exponential dichotomy by properties of these operators and use this characterization to prove the robustness of exponential dichotomy. © 2006 Elsevier Inc. All rights reserved. |
| URI: | http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/12219 |
| ISSN: | 0022247X |
| Appears in Collections: | Articles of Universities of Vietnam from Scopus
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