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02596nam a22004575i 4500 |
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978-3-7643-8732-7 |
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DE-He213 |
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20151125151744.0 |
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cr nn 008mamaa |
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100301s2008 sz | s |||| 0|eng d |
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|a 9783764387327
|9 978-3-7643-8732-7
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|a 10.1007/978-3-7643-8732-7
|2 doi
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|a 515.724
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|a Mee, Cornelis van der.
|e author.
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|a Exponentially Dichotomous Operators and Applications
|h [electronic resource] /
|c by Cornelis van der Mee.
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|a Basel :
|b Birkhäuser Basel,
|c 2008.
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|a XV, 224 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|a Operator Theory: Advances and Applications, Linear Operators and Linear Systems ;
|v 182
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|a Exponentially Dichotomous operators and Bisemigroups -- Perturbing Exponentially Dichotomous Operators -- Abstract Cauchy problems -- Riccati Equations and Wiener-Hopf Factorization -- Transport Equations -- Indefinite Sturm-Liouville Problems -- Noncausal Continuous Time Systems -- Mixed-type Functional Differential Equations.
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|a 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.
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|a Mathematics.
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|a Operator theory.
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| 650 |
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|a Differential equations.
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4 |
|a Mathematics.
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| 650 |
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|a Operator Theory.
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| 650 |
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|a Ordinary Differential Equations.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783764387310
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| 830 |
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|a Operator Theory: Advances and Applications, Linear Operators and Linear Systems ;
|v 182
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-7643-8732-7
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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