Theory of Integro-Differential Equations

Theory of Integro-Differential Equations

by V. Lakshmikantham, M. Rama Mohana Rao


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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.
This unique 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. 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.

Product Details

ISBN-13: 9782884490009
Publisher: Taylor & Francis
Publication date: 03/15/1995
Series: Stability and Control: Theory, Methods and Applications Ser.
Pages: 384
Product dimensions: 7.50(w) x 10.00(h) x 1.12(d)

Table of Contents

Basic Theory
Linear Analysis
Lyapunov Stability
Equations in Abstract Spaces

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