Book:Richard K. Miller/Ordinary Differential Equations

Subject Matter

 * Ordinary Differential Equations

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