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.

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 mul...

Table of Contents:

• Exponentially 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.