Robustness of nonuniform exponential trichotomies in Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:351

Article

Barreira, Luis¹  Valls, Claudia¹ 

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

关键词: Nonuniform exponential trichotomies;    Robustness;   

DOI  :  10.1016/j.jmaa.2008.10.030

来源: Elsevier

【 摘 要 】

We establish the robustness under sufficiently small linear perturbations of nonuniform exponential trichotomies defined by linear equations x' = A(t)x in Banach spaces. We also establish the continuous dependence oil the perturbation of the constants in the notion of trichotomy. We consider both trichotomies in semi-infinite intervals and trichotomies in R. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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