Exponentially Dichotomous Operators and Applications

• Main Author: Mee, Cornelis van der (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2008.
• Series: Operator Theory: Advances and Applications, Linear Operators and Linear Systems ; 182
• Subjects: Mathematics.; Operator theory.; Differential equations.; Operator Theory.; Ordinary Differential Equations.
• Physical Description: 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.