𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Necessary and sufficient criteria for the existence of exponential dichotomy on time scales

✍ Scribed by Jimin Zhang; Meng Fan; Huaiping Zhu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
278 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

Necessary and sufficient criteria are established for the existence of exponential dichotomies for linear dynamic equations on time scales and are applied to derive some perturbation theorems on the roughness of exponential dichotomy.

πŸ“œ SIMILAR VOLUMES

Necessary and sufficient conditions for
Necessary and sufficient conditions for the existence of a G-type Lyapunov function
✍ Kaiqi Xiong πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 563 KB

We discuss the problem of absolute stability and the Aizerman conjecture. Necessary and sufficient conditions are derived for the Lurie-Postnikov system to be absolutely stable by using a G-type Lyapunov function. The conditions that we give will be easily verified in practical applications.