In this program
- Existence and uniqueness: Picard–Lindelöf and Peano theorems
- Continuation of solutions
- Maximal intervals
- Linear systems: matrix exponential and Jordan form
- Stability via linearization
- Lyapunov methods
- Perturbation of ODEs
- Averaging (introduction)
ODE theory
Existence and uniqueness: Picard–Lindelöf and Peano theorems
Advanced differential equations · Standard syllabus
Topic
Existence and uniqueness: Picard–Lindelöf and Peano theorems
Graduate Advanced Differential Equations — scope drawn from open advanced DE / dynamical systems notes and typical US graduate advanced DE syllabi.