Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
first-order ordinary differential equations
|
| gptkbp:category |
existence theorem
|
| gptkbp:compatibleWith |
Lipschitz continuity
|
| gptkbp:concerns |
existence of solutions
|
| gptkbp:doesNotGuarantee |
uniqueness of solution
|
| gptkbp:field |
partial differential equations
|
| https://www.w3.org/2000/01/rdf-schema#label |
Peano existence theorem
|
| gptkbp:isWeakerThan |
gptkb:Picard–Lindelöf_theorem
|
| gptkbp:namedAfter |
gptkb:Giuseppe_Peano
|
| gptkbp:publishedIn |
1886
|
| gptkbp:requires |
continuity of f(x, y)
|
| gptkbp:state |
If f(x, y) is continuous, then the initial value problem y' = f(x, y), y(x0) = y0 has at least one solution
|
| gptkbp:usedIn |
analysis
applied mathematics |
| gptkbp:bfsParent |
gptkb:Picard–Lindelöf_theorem
|
| gptkbp:bfsLayer |
6
|