Publisher Summary This chapter discusses a restricted but useful class of dynamical
systems—, namely, those enjoying a comparison principle with respect to a closed order …

Abstract CONTENTS Introduction Chapter I. Relatively σ-bounded operators and analytic
groups of operators with kernels § 1.1. Relatively σ-bounded operators § 1.2. Groups of …

This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

After the publication of the first edition of this book, stochastic stability of differential
equations has become a very popular theme of recent research in mathematics and its …

Linear differential equations in Banach spaces are systematically treated with the help of
Laplace transforms. The central tool is an “integrated version” of Widder's theorem …

The main purpose of this book was to explain deterministic, age-structured population
dynamics models that appear in demography and epidemiology. The first part of this book …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

The foundations of this outstanding book series were laid in 1944. Until the end of the
1970s, a total of 77 volumes appeared, including works of such distinguished …

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 …

It is the purpose of this paper to describe some of the recent developments in the
mathematical theory of linear and quasilinear elliptic and parabolic systems with …