Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 154, pp. 1-11.

Title: Robustness of a nonuniform (mu,nu) trichotomy in Banach spaces

Author: Yongxin Jiang (Hohai Univ., Nanjing, China)

Abstract:
 In this article, we consider the robustness of a nonuniform $(\mu,\nu)$
 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 $(\mu,\nu)$ 
 trichotomy is also presented.

Submitted  March 13, 2012. Published September 07, 2012.
Math Subject Classifications: 34D09, 34D10.
Key Words: Robustness; dichotomy; nonuniform (mu,nu) trichotomy; 
           perturbation.