Course Unit

Catalogue

Differential Equations: Foundations

Course Unit Catalogue
  • Code: DT0710
  • Unit Coordinator: Bruno Rubino
  • 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.
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