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《常微分方程（英文版）》主要介紹了常微分方程的相關知識，內容包括一階線性微分方程、存在性定理、高階微分方程定理、微分方程組、穩定性等。為了便於學生更好地掌握，書中列舉了大量的典型例題，且大部分章節後面配有對應的習題，學生可以更好地檢驗自己對相關知識的掌握程度。
Chapter 1 Introduction
1．1 Differential Equations and Mathematical Models
1．2 Basic Concept
1．3 Direction Fields
Chapter 2 First-Order Differential Equations
2．1 Introduction： Motion of a Falling Body
2．2 Separable Equations
2．3 Linear Equations
2．4 Exact Equations
2．5 Special Integrating Factors
2．6 Substitutions and Transformations
Chapter 3 Estence and Uniqueness Theory
3．1 Picard's Estence and Uniqueness Theorem
3．2 Estence of Solutions of Linear Equation
3．3 Estimates of Error and Appromate Calculation
3．4 Continuation of Solutions
3．5 Continuous Dependence of Solutions
Chapter 4 Theory of Higher-Order Linear Differential Equations
4．1 Basic Theory of Linear Differential Equations
4．2 Homogeneous Linear Equations with Constant Coefficients
4．3 Undetermined Coefficients and the Annihilator Method
4．4 Method of Variation of Parameters
4．5 Cauchy-Euler Equation
4．6 Solution by Power Series
4．7 Laplace Transforms
Chapter 5 Systems of Differential Equations
5．1 Introduction
5．2 Estence and Uniqueness Theorem for Linear Systems
5．3 Properties of Solutions of First-Order Linear Systems
5．4 Homogeneous Linear Systems with Constant Coefficients
5．5 Complex Eigenvalues
5．6 The Matrix Exponential Function
5．7 Nonhomogeneous Linear Systems
Chapter 6 Stability
6．1 Introduction
6．2 Linear Systems in the Plane
6．3 Almost Linear Systems
6．4 Lyapunov's Direct Method
Chapter 7 Fractional Differential Equations
7．1 Riemann-Liouville Integrals
7．2 Riemann-Liouville Derivatives
7．3 Relations between Riemann-Liouville Integrals and Derivatives
7．4 Caputo's Derivative
7．5 Estence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations
7．6 Estence and Uniqueness Results for Caputo Fractional Differential Equations
Chapter 8 Dynamic Equations on Time Scales
8．1 Basic Definitions
8．2 Differentiation
8．3 Integration
References
