Abstract
In this paper, we investigate the uniform exponential stability of solutions to abstract integro-differential equations in Hilbert spaces by the theory of operator semigroups and Laplace transforms of vector-valued functions. New criterions are given based on the growth property of associated vectorvalued functions on the right half plane. Examples are presented to illustrate our results.
| Original language | English |
|---|---|
| Pages (from-to) | 781-792 |
| Number of pages | 12 |
| Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Volume | 18 |
| Issue number | 5 SUPPL. |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
Keywords
- Exponential stability
- Hilbert space
- Integro-differential equation
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