Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Cauchy–Lipschitz_theorem
|
| gptkbp:appliesTo |
initial value problems
|
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Picard–Lindelöf theorem
|
| gptkbp:namedAfter |
gptkb:Émile_Picard
gptkb:Ernst_Lindelöf |
| gptkbp:provenBy |
existence of solution under Lipschitz condition
uniqueness of solution under Lipschitz condition |
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
gptkb:Banach_fixed-point_theorem
gptkb:Peano_existence_theorem |
| gptkbp:requiresCondition |
Lipschitz continuity
|
| gptkbp:state |
Existence and uniqueness of solutions to certain ordinary differential equations
|
| gptkbp:usedIn |
analysis of ordinary differential equations
|
| gptkbp:bfsParent |
gptkb:Banach_fixed-point_theorem
|
| gptkbp:bfsLayer |
5
|