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Published in:
2022 | OriginalPaper | Chapter
13. Applications to Dynamical Systems
Authors : Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel
Published in: Completeness Theorems and Characteristic Matrix Functions
Publisher: Springer International Publishing
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Abstract
In this chapter we consider three different classes of unbounded operators that arise in applications. In the first section we consider exponential dichotomous operators that appear in the study of functional differential equations. In the second section, we consider the infinitesimal generator of the semigroup associated with age-dependent population models. In the third section, we consider unbounded operators that arise in the study of Markov processes. In each of the three sections the unbounded operators concerned are operators A of the kind appearing in (12.2) of the previous chapter. The results concerning completeness obtained in this chapter can be viewed as generalisations of Theorem 6.2.1.