Theory of Integro-Differential Equations (Stability and Control) 1st Edition by V. Lakshmikantham (PDF)

Description

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.

User’s Reviews

Editorial Reviews: About the Author M. Rama Mohana Rao is Professor of Mathematics at the Indian Institute of Technology.

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