Theory of Integro-Differential Equations

Download or read book Theory of Integro-Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 1995-03-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph investigates the theory and applications of Volterra integro-differential equations. Whilst covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications. This comprehensive 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 integro-differential equations, such as population dynamics, nuclear reactors, viscoelasticity, wave propagation and engineering systems, are discussed, making this book indispensable for mathematicians and engineers alike.