Lecture 23: Existence & Uniqueness for ODEs: Picard–Lindelöf Theorem
We show existence and uniqueness of first order ordinary differential equations (ODEs). This is the Picard–Lindelöf theorem and is a wonderful application of much of the material in the class. It will use the theory of metric spaces as well as the contracting mapping theorem. The solution to an ODE will be constructed as a fix point of a contracting map. Here the contracting map is defined on the Cauchy complete metric space of continuous functions on a compact interval.
Course Info
Instructor
Departments
As Taught In
Spring
2025
Level
Learning Resource Types
notes
Lecture Notes
theaters
Lecture Videos
assignment
Problem Sets
grading
Exams