Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
functional equation
|
| gptkbp:application |
characterization of linear functions
|
| gptkbp:category |
additive function
|
| gptkbp:field |
gptkb:mathematics
functional analysis real analysis |
| gptkbp:form |
f(x+y) = f(x) + f(y)
|
| gptkbp:generalizes |
gptkb:Jensen's_equation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy equation
|
| gptkbp:introducedIn |
1821
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:property |
has pathological solutions without regularity conditions
|
| gptkbp:relatedTo |
gptkb:Abel_equation
gptkb:Hamel_basis exponential Cauchy equation |
| gptkbp:solvedBy |
f(x) = cx (for continuous functions)
|
| gptkbp:bfsParent |
gptkb:Sellmeier_equation
|
| gptkbp:bfsLayer |
6
|