Generalized ordinary differential equations : not absolutely continuous solutions
著者
書誌事項
Generalized ordinary differential equations : not absolutely continuous solutions
（Series in real analysis, v. 11）
World Scientific, c2012
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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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