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Titlebook: Exponentially Dichotomous Operators and Applications; Cornelis Mee Book 2008 Birkhäuser Basel 2008 Banach space.Cauchy problem.Riccati equ

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书目名称Exponentially Dichotomous Operators and Applications
编辑Cornelis Mee
视频video
概述First book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.Includes supplementary material:
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Exponentially Dichotomous Operators and Applications;  Cornelis Mee Book 2008 Birkhäuser Basel 2008 Banach space.Cauchy problem.Riccati equ
描述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.
出版日期Book 2008
关键词Banach space; Cauchy problem; Riccati equation; Sturm-Liouville operator; dichotomous operator; operator
版次1
doihttps://doi.org/10.1007/978-3-7643-8732-7
isbn_ebook978-3-7643-8732-7Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Basel 2008
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Perspectives on ICTs and Development, larger state space extends that on the smaller state space, the input operator . is bounded from the input space . the larger state space, and the output operator . is bounded . the smaller state space into the output space. Also adopting a complex Hilbert space setting, we thus obtain the so-calle
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Book 2008pace 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 factorizati
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Book 2008on 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.
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