Spectral analysis of an operator associated with linear functional differential equations and its applications

The spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function space which consists of functions whose spectrum...

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Main Authors: Satoru Murakami, Toshiki Naito, N. V. Minh
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=45
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spelling doaj-59154cf612ad467aa71ecab333c9032c2021-07-14T07:21:17ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752000-01-0119992011510.14232/ejqtde.1999.5.2045Spectral analysis of an operator associated with linear functional differential equations and its applicationsSatoru Murakami0Toshiki Naito1N. V. Minh2Okayama University of Science, Okayama, JapanUniversity of Electro-Communications, Tokyo, JapanUniversity of Electro-Communications, Tokyo, JapanThe spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function space which consists of functions whose spectrum is contained in a fixed closed subset of the real line.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=45
collection DOAJ
language English
format Article
sources DOAJ
author Satoru Murakami
Toshiki Naito
N. V. Minh
spellingShingle Satoru Murakami
Toshiki Naito
N. V. Minh
Spectral analysis of an operator associated with linear functional differential equations and its applications
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Satoru Murakami
Toshiki Naito
N. V. Minh
author_sort Satoru Murakami
title Spectral analysis of an operator associated with linear functional differential equations and its applications
title_short Spectral analysis of an operator associated with linear functional differential equations and its applications
title_full Spectral analysis of an operator associated with linear functional differential equations and its applications
title_fullStr Spectral analysis of an operator associated with linear functional differential equations and its applications
title_full_unstemmed Spectral analysis of an operator associated with linear functional differential equations and its applications
title_sort spectral analysis of an operator associated with linear functional differential equations and its applications
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2000-01-01
description The spectral set of an operator which is associated with linear autonomous functional differential equations is determined. The consequence is applied to study the admissibility of linear autonomous functional differential equations for the function space which consists of functions whose spectrum is contained in a fixed closed subset of the real line.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=45
work_keys_str_mv AT satorumurakami spectralanalysisofanoperatorassociatedwithlinearfunctionaldifferentialequationsanditsapplications
AT toshikinaito spectralanalysisofanoperatorassociatedwithlinearfunctionaldifferentialequationsanditsapplications
AT nvminh spectralanalysisofanoperatorassociatedwithlinearfunctionaldifferentialequationsanditsapplications
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