Theory of integro-differential equations

書誌事項

Theory of integro-differential equations

V. Lakshmikantham and M. Rama Mohana Rao

(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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詳細情報

  • NII書誌ID(NCID)
    BA26293531
  • ISBN
    • 2884490000
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Lausanne
  • ページ数/冊数
    x, 362 p.
  • 大きさ
    26 cm
  • 分類
  • 件名
  • 親書誌ID
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