Abstract
The paper deals with a class of strongly continuous semigroups generated by operators defined on the tensor product of Hilbert spaces. Explicit exponential stability conditions for the considered semigroups are derived. Applications of the obtained conditions to semigroups generated by matrix differential operators and integro-differential operators are also discussed.
| Original language | English |
|---|---|
| Article number | MTJPAM-D-21-00058 |
| Pages (from-to) | 103-113 |
| Number of pages | 11 |
| Journal | Montes Taurus Journal of Pure and Applied Mathematics |
| Volume | 4 |
| Issue number | 3 |
| State | Published - 1 Jan 2022 |
Keywords
- Hilbert space
- Integro-differential equation
- Matrix differential operator
- Semigroup
- Stability
- Tensor product
ASJC Scopus subject areas
- Algebra and Number Theory
- Analysis
- Applied Mathematics
- Computational Mathematics