The Twin Semigroup Approach Towards Periodic Neutral Delay Equations

Sjoerd Verduyn Lunel

doi:10.1007/978-3-031-01129-0_1

The Twin Semigroup Approach Towards Periodic Neutral 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 review the recently developed theory of twin semigroups and norming dual pairs in the light of neutral delay equations. In the second part we extend the perturbation theory for twin semigroups to include time-dependent perturbations. Finally we apply this newly developed theory to neutral periodic delay equations.

Original language	English
Title of host publication	CISM International Centre for Mechanical Sciences, Courses and Lectures
Editors	D. Breda
Publisher	Springer
Pages	1-36
Number of pages	36
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_1
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.

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10.1007/978-3-031-01129-0_1

978-3-031-01129-0_1Final published version, 437 KBLicence: Taverne

Cite this

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The Twin Semigroup Approach Towards Periodic Neutral Delay Equations. / Verduyn Lunel, Sjoerd.
CISM International Centre for Mechanical Sciences, Courses and Lectures. ed. / D. Breda. Springer, 2023. p. 1-36 (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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AB - In the first part of this chapter we review the recently developed theory of twin semigroups and norming dual pairs in the light of neutral delay equations. In the second part we extend the perturbation theory for twin semigroups to include time-dependent perturbations. Finally we apply this newly developed theory to neutral periodic delay equations.

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The Twin Semigroup Approach Towards Periodic Neutral Delay Equations

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