Editing Picard–Lindelöf theorem (section)

{{Short description|Existence and uniqueness of solutions to initial value problems}}
{{Differential equations}}

In [[mathematics]], specifically the study of [[differential equation]]s, the '''Picard–Lindelöf theorem''' gives a set of conditions under which an [[initial value problem]] has a [[Uniqueness (mathematics)|unique]] solution. It is also known as '''Picard's existence theorem''', the '''Cauchy–Lipschitz theorem''', or the '''existence and uniqueness theorem'''.

The theorem is named after [[Émile Picard]], [[Ernst Lindelöf]], [[Rudolf Lipschitz]] and [[Augustin-Louis Cauchy]].