Differential Equations: Foundations
- Code: DT0710
- Unit Coordinator: Felisia Chiarello
- Programme: Pre Master's Foundation
- ECTS Credits: 3
- Taught hours: 18
- Campus: University of L'Aquila
- Language: English
- Delivery: Online
- Content:
General introduction to differential equations, Cauchy problems.
Existence and uniqueness of solutions. Peano’s and Cauchy’s theorems. Examples, Peano’s brush.
Introduction to linear differential equations. Examples.
A brief outline of qualitative analysis of Cauchy problems. Comparison of solutions, maximal solutions, global existence of solutions, blow-up of solutions. Examples.
