Exponentially Dichotomous Operators and Exponential Dichotomy of Evolution Equations on the Half-Line
✍ Scribed by Nguyen Thieu Huy
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 198 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
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
In this paper we investigate the characterization of dichotomies of an evolution family = U t s t≥s≥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 ξ f ξ dξ. The exponential and ordina