𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exponential dichotomy of difference equations and applications to evolution equations on the half-line

✍ Scribed by Nguyen Thieu Huy; Nguyen Van Minh

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
514 KB
Volume
42
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

For a sequence of bounded linear operator {An}~=0 on a Banach space X, we investigate the characterization of exponential dichotomy of the difference equations Vn+l = Anvn. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations Vn+l = Anvn + fn in loo space. Then we apply the results to study the exponential dichotomy of evolution families generated by evolution equations. (~) 2001 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Characterizations of Dichotomies of Evol
Characterizations of Dichotomies of Evolution Equations on the Half-Line
✍ Nguyen Van Minh; Nguyen Thieu Huy πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

In this paper we investigate the characterization of dichotomies of an evolution family = U t s tβ‰₯sβ‰₯0 of bounded linear operators on Banach space X. We introduce operators I 0 and I X on subspaces of L p R + X using the integral equation u t = U t s u s + t s U t ΞΎ f ΞΎ dΞΎ. The exponential and ordina