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100   $a20071204d2008      uy             0
101 0 $ager
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aExponentially dichotomous operators and applications$b[electronic resource] /$fCornelis van der Mee
205   $a1st ed. 2008.
210   $aBasel ;$aBoston $cBirkha?user$dc2008
215   $a1 online resource (235 p.)
225 1 $aOperator theory, advances and applications ;$vv. 182.$aLinear operators and linear systems
300   $aDescription based upon print version of record.
311   $a3-7643-8731-9 
320   $aIncludes bibliographical references (p. [209]-219).
327   $aExponentially 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.
330   $aIn this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.
410  0$aOperator theory, advances and applications ;$vv. 182.
410  0$aOperator theory, advances and applications.$pLinear operators and linear systems.
606   $aOperator theory
606   $aDifferential equations, Linear
606   $aPerturbation (Mathematics)
615  0$aOperator theory.
615  0$aDifferential equations, Linear.
615  0$aPerturbation (Mathematics)
676   $a515/.724
700   $aMee$b C. V. M. van der$g(Cornelis Victor Maria)$055930
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910782098903321
996   $aExponentially dichotomous operators and applications$9716840
997   $aUNINA