Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
Fourier series
heat conduction quantum mechanics vibrations |
| gptkbp:component |
eigenvalue
boundary conditions weight function eigenfunction |
| gptkbp:field |
gptkb:mathematics
mathematical physics partial differential equations |
| gptkbp:firstDescribed |
1836
|
| gptkbp:form |
(d/dx)[p(x) dy/dx] + q(x)y + λw(x)y = 0
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sturm-Liouville problem
|
| gptkbp:involves |
eigenvalue problem
second-order linear differential equation |
| gptkbp:namedAfter |
gptkb:Joseph_Liouville
gptkb:Jacques_Charles_François_Sturm |
| gptkbp:property |
gptkb:self-adjoint_operator
orthogonality of eigenfunctions real eigenvalues |
| gptkbp:relatedTo |
gptkb:Bessel_equation
gptkb:Hilbert_space gptkb:Legendre_equation Fourier analysis spectral theory |
| gptkbp:usedIn |
engineering
mathematical modeling solving partial differential equations |
| gptkbp:bfsParent |
gptkb:Sturm-Liouville_theory
|
| gptkbp:bfsLayer |
7
|