Functional equations encompass most of the equations 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. The basic theory of functional equations includes functional differential equations with causal operators. Functional Equations with Causal Operators explains the connection between equations with causal operators and the classical types of functional equations encountered by mathematicians and engineers. It details the fundamentals of linear equations and stability theory and provides several applications and examples.
Introduction. Auxiliary Concepts. Existence Theory for Functional Equations With Causal Operators. Linear Quasilinear Equations with Causal Operators. Stability Theory. Neutral Functional Equations. Miscellanea (Applications and Generalizations).