Sturm–Liouville theory
id:
sturm-liouville-theory-185-2632378
title:
Sturm–Liouville theory
text:
In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p d y d x ] + q y = − λ w y for given functions p, q and w, together with some boundary conditions at extreme values of x. The goals of a given Sturm–Liouville problem are:
- To find the λ for which there exists a non-trivial solution to the problem. Such values λ are called the eigenvalues of the problem.
- For each eigenvalue λ, to find the correspondin
brand slug:
wiki
category slug:
encyclopedia
description:
On a type of differential equation
original url:
https://en.wikipedia.org/wiki/Sturm%E2%80%93Liouville_theory
date created:
2004-02-27T05:31:19Z
date modified:
2024-09-07T15:19:29Z
main entity:
{"identifier":"Q1154082","url":"https://www.wikidata.org/entity/Q1154082"}
image:
fields total:
13
integrity:
15