Peano existence theorem
Teorema de existencia de Peano
- Date
- 1886-1890 · confidence low
- Place
- Turin, Piedmont, Italy
- Credited to
- Giuseppe Peano y Augustin-Louis Cauchy
- Field
- Knowledge & symbols
What was discovered
Theorem guaranteeing the existence (not necessarily unique) of a solution to certain initial value problems for ordinary differential equations, due to Giuseppe Peano building on earlier ideas of Cauchy.
What it led to
- Distinction between existence and uniqueness of solutions to differential equations
- Complement to the later Picard–Lindelöf theorem on uniqueness
- Basic tool of differential equation analysis