Dynamical entropy in Banach spaces
β Scribed by David Kerr; Hanfeng Li
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 486 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we investigate the strong asymptotic stability of linear dynamical systems in Banach spaces. Let \(\alpha\) be the infinitesimal generator of a \(C_{0}\)-semigroup \(e^{t i f f}\) of bounded linear operators in a Banach space \(X\). We first show that if \(e^{t . \alpha}\) is a \(C_{0}
The DSM (dynamical systems method) is justified for nonlinear operator equations in a Banach space. The main assumption is on the spectral properties of the Fre `chet derivative of the operator at a suitable point. A singular perturbation problem related to the original equation is studied.