Exponentially Dichotomous Operators and Applications

In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and mul...

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Main Author:	Mee, C. V. M. van der
Format:	Book
Language:	English
Published:	Springer 2017
Subjects:	Operator theory Differential equations, Linear Perturbation (Mathematics) 515
Online Access:	http://repository.vnu.edu.vn/handle/VNU_123/31726
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Institution:	Vietnam National University, Hanoi
Language:	English

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spelling	oai:112.137.131.14:VNU_123-317262020-06-24T08:07:14Z Exponentially Dichotomous Operators and Applications Mee, C. V. M. van der Operator theory Differential equations, Linear Perturbation (Mathematics) 515 In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type. 2017-04-20T07:12:59Z 2017-04-20T07:12:59Z 2008 Book 9783764387310 http://repository.vnu.edu.vn/handle/VNU_123/31726 en © 2008 Birkhäuser Verlag AG 231 p. application/pdf Springer
institution	Vietnam National University, Hanoi
building	VNU Library & Information Center
country	Vietnam
collection	VNU Digital Repository
language	English
topic	Operator theory Differential equations, Linear Perturbation (Mathematics) 515
spellingShingle	Operator theory Differential equations, Linear Perturbation (Mathematics) 515 Mee, C. V. M. van der Exponentially Dichotomous Operators and Applications
description	In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.
format	Book
author	Mee, C. V. M. van der
author_facet	Mee, C. V. M. van der
author_sort	Mee, C. V. M. van der
title	Exponentially Dichotomous Operators and Applications
title_short	Exponentially Dichotomous Operators and Applications
title_full	Exponentially Dichotomous Operators and Applications
title_fullStr	Exponentially Dichotomous Operators and Applications
title_full_unstemmed	Exponentially Dichotomous Operators and Applications
title_sort	exponentially dichotomous operators and applications
publisher	Springer
publishDate	2017
url	http://repository.vnu.edu.vn/handle/VNU_123/31726
_version_	1680963963507965952

Exponentially Dichotomous Operators and Applications

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