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 …

The theory of linear Volterra Integro-differental equations has been developing rapidly in the
last three decades. This book provides an easy-to-read, concise introduction to the theory of …

More than 13 years have passed since the fundamental survey [16] was prepared, which, as
the author intended, should have been the first part of a large work devoted to abstract …

Analytic Resolvent Operators for Integral Equations in Banach Space Page 1 JOURNAL OF
DIFFERENTIAL EQUATIONS 50, 234-259 (1983) Analytic Resolvent Operators for Integral …

In this paper we give a semigroup-based definition of the solution of the Gurtin-Pipkin
equation with Dirichlet boundary conditions. It turns out that the dominant term of the input-to …

We show that if− A generates a bounded α-times resolvent family for some α∈(0, 2], then−
Aβ generates an analytic γ-times resolvent family for β∈(0, 2π− πγ2π− πα) and γ∈(0, 2) …

In this paper we are concerned with the problem of looking for a pair of functions u:[0, T]×
Ω¯→ ℝ https://s3-euw1-ap-pe-df-pch-content-public-p. s3. eu-west-1. amazonaws …

In this paper we introduce three kinds of resolvent families defined by purely algebraic
equations, which extend the classical semigroup property and Cosine functional equation …

u’(t)=Au(r)+/‘K(rs)u(s)ds+f(t) Page 1 JOURNAL OF MATHEMATICAL ANALYSIS AND
APPLICATIONS 112, 3655 (1985) Existence and Regularity for a Class of Integrodifferential …

In this paper we present the basic theory for a class of Volterra differential-integral equations
of convolution type in Banach spaces. We show that existence of resolvent operator for such …