Functional Equations with Causal Operators presents the connection between the equations with causal operators and classical types of functional equations that mathematicians will encounter in the literature. It provides basic theorems of existence and uniqueness of the solution and properties of solutions or families of solutions. This volume describes in detail the fundamentals of linear equations, stability theory and several applications and examples.
The book is intended to provide basic theory of functional equations (including functional differential equations) with causal operators. These equations encompass most types of equations which are used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument and integro-differential equations of the Volterra type.

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The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential equations.

This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.