Description

Book Synopsis
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.

Generalized Ordinary Differential Equations: Not

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    A Hardback by Jaroslav Kurzweil

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      View other formats and editions of Generalized Ordinary Differential Equations: Not by Jaroslav Kurzweil

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 09/02/2012
      ISBN13: 9789814324021, 978-9814324021
      ISBN10: 9814324027

      Description

      Book Synopsis
      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.

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