Theory of Integro-Differential Equations

This monograph investigates the theory and applications of Volterra integro-differential equations. While covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications. The work presents a unified framework to investigate the fundamental existence of theory, treats stability theory in terms of Lyapunov functions and functionals, develops the theory of integro-differential equations with impulse effects, and deals with linear evolution equations in abstract spaces. Various applications of integra-differential equations, such as population dynamics, nuclear reactors, viscoelasticity, wave propagation and engineering systems, are also discussed.