Theory of integro-differential equations
著者
書誌事項
Theory of integro-differential equations
（Stability and control : theory, methods and applications, v. 1）
Gordon & Breach Science, c1995
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Basic theory
- linear analysis
- Lyapunov stability
- equations in abstract spaces
- applications.
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