Description 
1 online resource (390 pages) 
Series 
Modern Birkhäuser classics 

Modern Birkhäuser classics.

Contents 
1. Equations of Scalar Type  Resolvents  Analytic Resolvents  Parabolic Equations  Subordination  Linear Viscoelasticity  2. Nonscalar Equations  Hyperbolic Equations of Nonscalar Type  Nonscalar Parabolic Equations  Parabolic Problems in L pSpaces  Viscoelasticity and Electrodynamics with Memory  3. Equations on the Line  Integrability of Resolvents  Limiting Equations  Admissibility of Function Spaces  Further Applications and Complemaents 
Summary 
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 including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory 
Bibliography 
Includes bibliographical references and index 
Subject 
Volterra equations.

Form 
Electronic book

ISBN 
3034804997 (electronic bk.) 

9783034804998 (electronic bk.) 
