Positivity and Stability for One-Sided Coupled Operator Matrices

Positivity and Stability for One-Sided Coupled Operator Matrices 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Positivity and Stability for One-Sided Coupled Operator Matrices

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1009794800971
Publisher site
See Article on Publisher Site

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.

Journal

PositivitySpringer Journals

Published: Oct 14, 2004

References

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