The rapid development of the theories of Volterra integral and
functional equations has been strongly promoted by their
applications in physics, engineering and biology. This text shows
that the theory of Volterra equations exhibits a rich variety of
features not present in the theory of ordinary differential
equations. The book is divided into three parts. The first
considers linear theory and the second deals with quasilinear
equations and existence problems for nonlinear equations, giving
some general asymptotic results. Part III is devoted to frequency
domain methods in the study of nonlinear equations. The entire text
analyses n-dimensional rather than scalar equations, giving greater
generality and wider applicability and facilitating generalizations
to infinite-dimensional spaces. The book is generally
self-contained and assumes only a basic knowledge of analysis. The
many exercises illustrate the development of the theory and its
applications, making this book accessible to researchers in all
areas of integral and differential equations.
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