ISSN:
1432-2137
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
B (t) denote the C0-semigroups generated by linear operators A,A+B respectively on a Banach space X. We show, in this article, that if (i) T(t0)-TB (t0) is compact for some t0〉0, (ii) T(t) is asymptotically stable, (iii) TB(t) is exponentially stable, then T(t) is also exponentially stable. This generalizes a result on compact perturbations proved by Triggiani [Proc. AMS.,105(1989),375-383] on Hilbert spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002339900043
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