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Ordinary Differential Equations

Ordinary Differential Equations

2nd Edition


Part of Classics in Applied Mathematics

  • Date Published: March 2002
  • availability: Available in limited markets only
  • format: Paperback
  • isbn: 9780898715101

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About the Authors
  • Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, Ordinary Differential Equations presents the basic theory of ODEs in a general way, making it a valuable reference. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems.

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    Product details

    • Edition: 2nd Edition
    • Date Published: March 2002
    • format: Paperback
    • isbn: 9780898715101
    • length: 632 pages
    • dimensions: 228 x 152 x 30 mm
    • weight: 0.858kg
    • availability: Available in limited markets only
  • Table of Contents

    Foreword to the Classics Edition
    Preface to the First Edition
    Preface to the Second Edition
    I: Preliminaries
    II: Existence
    III: Differential In qualities and Uniqueness
    IV: Linear Differential Equations
    V: Dependence on Initial Conditions and Parameters
    VI: Total and Partial Differential Equations
    VII: The Poincaré-Bendixson Theory
    VIII: Plane Stationary Points
    IX: Invariant Manifolds and Linearizations
    X: Perturbed Linear Systems
    XI: Linear Second Order Equations
    XII: Use of Implicity Function and Fixed Point Theorems
    XIII: Dichotomies for Solutions of Linear Equations
    XIV: Miscellany on Monotomy
    Hints for Exercises

  • Author

    Philip Hartman, The Johns Hopkins University

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