Exponentially Dichotomous Operators and Applications

• Κύριος συγγραφέας: Mee, Cornelis van der (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2008.
• Σειρά: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 182
• Θέματα: Mathematics.; Operator theory.; Differential equations.; Operator Theory.; Ordinary Differential Equations.
• Φυσική περιγραφή: XV, 224 p. online resource.
• ISBN: 9783764387327

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.