Functional differential equations with infinite delay

In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since th...

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Detalles Bibliográficos
Autores principales: Hino, Yoshiyuki, Murakami, Satoru, Naito, Toshiki
Lenguaje:eng
Publicado: Springer 1991
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0084432
http://cds.cern.ch/record/1691523
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author Hino, Yoshiyuki
Murakami, Satoru
Naito, Toshiki
author_facet Hino, Yoshiyuki
Murakami, Satoru
Naito, Toshiki
author_sort Hino, Yoshiyuki
collection CERN
description In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1991
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spelling cern-16915232021-04-21T21:09:14Zdoi:10.1007/BFb0084432http://cds.cern.ch/record/1691523engHino, YoshiyukiMurakami, SatoruNaito, ToshikiFunctional differential equations with infinite delayMathematical Physics and MathematicsIn the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.Springeroai:cds.cern.ch:16915231991
spellingShingle Mathematical Physics and Mathematics
Hino, Yoshiyuki
Murakami, Satoru
Naito, Toshiki
Functional differential equations with infinite delay
title Functional differential equations with infinite delay
title_full Functional differential equations with infinite delay
title_fullStr Functional differential equations with infinite delay
title_full_unstemmed Functional differential equations with infinite delay
title_short Functional differential equations with infinite delay
title_sort functional differential equations with infinite delay
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0084432
http://cds.cern.ch/record/1691523
work_keys_str_mv AT hinoyoshiyuki functionaldifferentialequationswithinfinitedelay
AT murakamisatoru functionaldifferentialequationswithinfinitedelay
AT naitotoshiki functionaldifferentialequationswithinfinitedelay

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