Generalized ordinary differential equations : not absolutely continuous solutions

書誌事項

Generalized ordinary differential equations : not absolutely continuous solutions

Jaroslav Kurzweil

(Series in real analysis, v. 11)

World Scientific, c2012

この図書・雑誌をさがす
注記

Includes bibliography (p. 193-194) and index

内容説明・目次

内容説明

This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur.

目次

  • Kapitza's Pendulum and a Related Problem
  • Averaging
  • Internal Resonance
  • SR-Integration of Functions of a Pair of Coupled Variables
  • Generalized Ordinary Differential Equations
  • SR-Solutions
  • Continuous Dependence
  • SKH-Integration of Functions of a Pair of Coupled Variables
  • Differential Equations in Classical Form
  • Integration and Strong Integration
  • Integration by Parts
  • A Variant of Gronwall Formula
  • Linear Generalized Ordinary Differential Equations.

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詳細情報
  • NII書誌ID(NCID)
    BB0850592X
  • ISBN
    • 9789814324021
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    ix, 197 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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