Exponentially Dichotomous Operators and Applications eBook

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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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Exponentially Dichotomous Operators and Applications is written by Cornelis V. M. van der Mee and published by Birkhäuser. The Digital and eTextbook ISBNs for Exponentially Dichotomous Operators and Applications are 9783764387327, 3764387327 and the print ISBNs are 9783764387310, 3764387319.