Abstract
A linear integro-differential equation modelling multiple fragmentation with inherent mass loss is investigated by means of substochastic semigroup theory. The existence of a semigroup is established and, under natural conditions on certain coefficients, the generator of this semigroup is identified. This yields, in particular, a validation of the formal mass-loss rate equation for the model.
| Original language | English |
|---|---|
| Pages (from-to) | 9-30 |
| Number of pages | 21 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 284 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2003 |
Keywords
- semigroups of operators
- abstract cauchy problem
- multiple fragmentation with mass loss
- mathematics
- integro-differential equation