Many evolutionary systems can be described by an abstract Cauchy problem governed by an operator matrix. Assuming this problem to be "one-sided coupled" and "well-posed" we study in this paper the positivity and the stability of the associated matrix semigroup. The abstract results are illustrated by several examples.

Positivity and stability for one-sided coupled operator matrices

ENGEL, KLAUS JOCHEN OTTO
1997

Abstract

Many evolutionary systems can be described by an abstract Cauchy problem governed by an operator matrix. Assuming this problem to be "one-sided coupled" and "well-posed" we study in this paper the positivity and the stability of the associated matrix semigroup. The abstract results are illustrated by several examples.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/6539
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