Characteristic Matrix Functions and Periodic Delay Equations

Sjoerd Verduyn Lunel

doi:10.1007/978-3-031-01129-0_2

Characteristic Matrix Functions and Periodic Delay Equations

Sjoerd Verduyn Lunel^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

Abstract

In the first part of this chapter we recall the notion of a characteristic matrix function for classes of operators as introduced in Kaashoek and Verduyn Lunel (2023). The characteristic matrix function completely describes the spectral properties of the corresponding operator. In the second part we show that the period map or monodromy operator associated with a periodic neutral delay equation has a characteristic matrix function. We end this chapter with a number of illustrative examples of periodic neutral delay equations for which we can compute the characteristic matrix function explicitly.

Original language	English
Title of host publication	CISM International Centre for Mechanical Sciences, Courses and Lectures
Editors	D. Breda
Publisher	Springer
Pages	37-64
Number of pages	28
ISBN (Electronic)	978-3-031-01129-0
ISBN (Print)	978-3-031-00981-5
DOIs	https://doi.org/10.1007/978-3-031-01129-0_2
Publication status	Published - 2023

Publication series

Name	CISM International Centre for Mechanical Sciences, Courses and Lectures
Volume	604
ISSN (Print)	0254-1971
ISSN (Electronic)	2309-3706

Bibliographical note

Publisher Copyright:
© 2023, CISM International Centre for Mechanical Sciences.

Access to Document

10.1007/978-3-031-01129-0_2

978-3-031-01129-0_2Final published version, 333 KBLicence: Taverne

Cite this

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Characteristic Matrix Functions and Periodic Delay Equations. / Verduyn Lunel, Sjoerd.
CISM International Centre for Mechanical Sciences, Courses and Lectures. ed. / D. Breda. Springer, 2023. p. 37-64 (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 604).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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