Exponentially Dichotomous Operators and Applications (Operator Theory: Advances and Applications Book 182) 2008th Edition by Cornelis V. M. van der Mee (PDF)

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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. This is the first book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space.

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