Lyapunov functions for general nonuniform trichotomy with different growth rates

In this article, we consider non-autonomous linear equations x' = A(t)x that may exhibit stable, unstable and central behaviors in different directions. We give a complete characterization of nonuniform $(\mu,\nu)$ trichotomies in terms of strict Lyapunov functions. In particular, we obtain...

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Bibliographic Details
Main Authors: Yongxin Jiang, Fang-Fang Liao
Format: Article
Language:English
Published: Texas State University 2014-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/244/abstr.html