Sturm-Liouville form

English

Etymology

Named after Template:W (1803–1855) and Template:W (1809–1882).

Noun

1. Template:Lb the form of a real differential equation expressed as:

$$\frac{d}{dx}[p(x)\frac{dy}{dx}]+q(x)y=-\lambda w(x)y,$$ for given coefficient functions Template:Math, Template:Math, and Template:Math, an unknown function y = y(x) of the free variable Template:Math, and an unknown constant λ.