Picard–Lindelöf theorem
Teorema de Picard-Lindelöf
- Date
- 1890-1894 · confidence medium
- Place
- Paris, France
- Credited to
- Charles Émile Picard, Rudolf Lipschitz, Augustin-Louis Cauchy y Ernst Leonard Lindelöf
- Field
- Knowledge & symbols
What was discovered
A theorem guaranteeing the existence and uniqueness of the solution of an initial value problem for ordinary differential equations under a Lipschitz condition, via the method of successive approximations; developed by Émile Picard and refined by Ernst Lindelöf, building on earlier work by Cauchy and Lipschitz.
What it led to
- Rigorous foundation of the theory of differential equations
- Numerical methods based on successive approximations
- Foundation for existence theorems in dynamical systems