Robustness of a Nonuniform (μ, Ν) Trichotomy in Banach Spaces

Abstract

In this article, we consider the robustness of a nonuniform (μ, ν) 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 (μ, ν) trichotomy is also presented.

Cite this paper

@inproceedings{Jiang2012RobustnessOA, title={Robustness of a Nonuniform (μ, Ν) Trichotomy in Banach Spaces}, author={Yongxin Jiang}, year={2012} }