Boundedly solvable extensions of delay differential operators

Boundedly solvable extensions of delay differential operators

We describe all boundedly solvable extensions of minimal operators generated by first-order linear delay differential operators in Hilbert spaces of vector-functions on finite intervals. Also, we study the structure of spectrum of these extensions. To do this we use methods from operator theor...

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Bibliographic Details
Main Authors: Bahadir O. Guler, Bulent Yilmaz, Zameddin I. Ismailov
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Delay differential expression
boundedly solvable operator
Online Access:http://ejde.math.txstate.edu/Volumes/2017/67/abstr.html
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spelling doaj-45654655e5984207b91e22bbfd801d2f2020-11-24T22:37:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201767,18Boundedly solvable extensions of delay differential operatorsBahadir O. Guler0Bulent Yilmaz1Zameddin I. Ismailov2 Karadeniz Technical Univ., Turkey Marmara Univ., Turkey Karadeniz Technical Univ., Turkey We describe all boundedly solvable extensions of minimal operators generated by first-order linear delay differential operators in Hilbert spaces of vector-functions on finite intervals. Also, we study the structure of spectrum of these extensions. To do this we use methods from operator theory.http://ejde.math.txstate.edu/Volumes/2017/67/abstr.htmlDelay differential expressionboundedly solvable operator
collection DOAJ
language English
format Article
sources DOAJ
author Bahadir O. Guler
Bulent Yilmaz
Zameddin I. Ismailov
spellingShingle Bahadir O. Guler
Bulent Yilmaz
Zameddin I. Ismailov
Boundedly solvable extensions of delay differential operators
Electronic Journal of Differential Equations
Delay differential expression
boundedly solvable operator
author_facet Bahadir O. Guler
Bulent Yilmaz
Zameddin I. Ismailov
author_sort Bahadir O. Guler
title Boundedly solvable extensions of delay differential operators
title_short Boundedly solvable extensions of delay differential operators
title_full Boundedly solvable extensions of delay differential operators
title_fullStr Boundedly solvable extensions of delay differential operators
title_full_unstemmed Boundedly solvable extensions of delay differential operators
title_sort boundedly solvable extensions of delay differential operators
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-03-01
description We describe all boundedly solvable extensions of minimal operators generated by first-order linear delay differential operators in Hilbert spaces of vector-functions on finite intervals. Also, we study the structure of spectrum of these extensions. To do this we use methods from operator theory.
topic Delay differential expression
boundedly solvable operator
url http://ejde.math.txstate.edu/Volumes/2017/67/abstr.html
work_keys_str_mv AT bahadiroguler boundedlysolvableextensionsofdelaydifferentialoperators
AT bulentyilmaz boundedlysolvableextensionsofdelaydifferentialoperators
AT zameddiniismailov boundedlysolvableextensionsofdelaydifferentialoperators
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