Generalized ordinary differential equations : not absolutely continuous solutions

Author(s)

• Kurzweil, Jaroslav

Bibliographic Information

Generalized ordinary differential equations : not absolutely continuous solutions

Jaroslav Kurzweil

（Series in real analysis, v. 11）

World Scientific, c2012

Note

Includes bibliography (p. 193-194) and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BB0850592X
• ISBN:
  • 9789814324021
• Country Code: si
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Singapore
• Pages/Volumes: ix, 197 p.
• Size: 24 cm
• Classification:
  • DC22 : 515.45
• Subject Headings:
  • LCSH : Volterra equations
• Parent Bibliography ID:
  • BA03766995