Yongxin Jiang
Abstract:
In this article, we consider the robustness of a nonuniform
trichotomy in Banach spaces, in the sense that the existence of such
a trichotomy for a given linear equation persists under sufficiently
small linear perturbations. The continuous dependence with the
perturbation of the constants in the notion of trichotomy is studied, and
the related robustness of strong
trichotomy is also presented.
Submitted March 13, 2012. Published September 7, 2012.
Math Subject Classifications: 34D09, 34D10.
Key Words: Robustness; dichotomy; nonuniform (mu,nu) trichotomy;
perturbation.
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Yongxin Jiang Department of Mathematics, College of Science Hohai University, Nanjing 210098, China email: yxinjiang@163.com |
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