Title of article
On the application of substochastic semigroup theory to fragmentation models with mass loss
Author/Authors
Jacek Banasiak، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
22
From page
9
To page
30
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.
2003 Elsevier Inc. All rights reserved
Keywords
Semigroups of operators , Abstract Cauchy problem , Multiple fragmentation with mass loss
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930700
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