Book:Richard K. Miller/Ordinary Differential Equations
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Richard K. Miller and Anthony N. Michel: Ordinary Differential Equations
Published $\text {1982}$, Dover Publications
- ISBN 978-0-486-46248-6.
Subject Matter
Contents
- 1: Introduction
- 1.1 Initial Value Problems
- 1.2 Examples of Initial Value Problems
- 2: Fundamental Theory
- 2.1 Preliminaries
- 2.2 Existence of Solutions
- 2.3 Continuation of Solutions
- 2.4 Uniqueness of Solutions
- 2.5 Continuity of Solutions with Respect to Parameters
- 2.6 Systems of Equations
- 2.7 Differentiability with Respect to Parameters
- 2.8 Comparison Theory
- 2.9 Complex Valued Systems
- 3: Linear Systems
- 3.1 Preliminaries
- 3.2 Linear Homogeneous and Nonhomogeneous Systems
- 3.3 Linear Systems with Constant Coefficients
- 3.4 Linear Systems with Periodic Coefficients
- 3.5 Linear $n$th Order Ordinary Differential Equations
- 3.6 Oscillation Theory
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