Admissibility for Nonuniform (μ,ν) Contraction and Dichotomy
The relation between the notions of nonuniform asymptotic stability and admissibility is considered. Using appropriate Lyapunov norms, it is showed that if any of their associated ℒp spaces, with p∈(1,∞], is admissible for a given evolution process, then this process is a nonuniform (μ,ν) contractio...
Saved in:
Main Authors: | Yongxin Jiang, Fang-fang Liao |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/741696 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A Generalized Nonuniform Contraction and Lyapunov Function
by: Fang-fang Liao, et al.
Published: (2012-01-01) -
Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies
by: Lijun Pan
Published: (2014-01-01) -
Existence and Uniqueness of Solution for Perturbed Nonautonomous Systems with Nonuniform Exponential Dichotomy
by: Yong-Hui Xia, et al.
Published: (2014-01-01) -
L-correspondences: the inclusion
Lp(μ,X)⊂Lq(ν,Y)
by: C. Bryan Dawson
Published: (1996-01-01) -
Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
by: Nicolae Lupa
Published: (2014-01-01)