Evolutionary Integral Equations and Applications

• Κύριος συγγραφέας: Prüss, Jan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Σειρά: Modern Birkhäuser Classics
• Θέματα: Mathematics.; Integral equations.; Operator theory.; Differential equations.; Integral Equations.; Ordinary Differential Equations.; Operator Theory.

This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. The aim is a coherent presentation of the state of art of the theory inclu...

Πίνακας περιεχομένων:

• Preface
• Introduction
• Preliminaries
• I Equations of Scalar Type
• 1 Resolvents
• 2 Analytic Resolvents
• 3 Parabolic Equations
• 4 Subordination
• 5 Linear Viscoelasticity
• II Nonscalar Equations
• 6 Hyperbolic Equations of Nonscalar Type
• 7 Nonscalar Parabolic Equations
• 8 Parabolic Problems in Lp-Spaces
• 9 Viscoelasticity and Electrodynamics with Memory
• III Equations on the Line
• 10 Integrability of Resolvents
• 11 Limiting Equations
• 12 Admissibility of Function Spaces
• 13 Further Applications and Complements
• Bibliography
• Index.