July 1, 2024Open Access

Datko type characterizations for exponential instability in average of cocycles

Key Points

Key points are not available for this paper at this time.

Abstract

In this paper, we consider the problem of exponential instability behavior of random dynamical systems described by cocycles in Banach spaces. We prove some continuous and discrete versions of Datko type theorem for the exponential instability in average of cocycles. In addition, two characterizations of the exponential instability in average in terms of Lyapunov functions are given.

Read Full Paperexternally

Ask AI

Helpful

Bookmark

View Full Paper

Cite This Study

Yue Tian (Mon,) studied this question.

synapsesocial.com/papers/68e62074b6db6435875b22a8 https://doi.org/https://doi.org/10.32917/h2023003

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Admissibility for exponential dichotomies in average2014 · 6 citations
2Uniform exponential dichotomy of stochastic cocycles2010 · 22 citations
3An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators2010 · 4 citations
4A version of a theorem of R. Datko for nonuniform exponential contractions2011 · 23 citations
5Continuous and discrete characterizations for the uniform exponential stability of linear skew-evolution semiflows2010 · 23 citations

Ask AI

Helpful

Bookmark

View Full Paper