Hill differential equation
id:
hill-differential-equation-267-5813729
title:
Hill differential equation
text:
In mathematics, the Hill equation or Hill differential equation is the second-order linear ordinary differential equation where f is a periodic function with minimal period π and average zero. By these we mean that for all t and and if p is a number with 0 < p < π , the equation f = f must fail for some t . It is named after George William Hill, who introduced it in 1886. Because f has period π , the Hill equation can be rewritten using the Fourier series of f : Important special cases of Hill's
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wiki
category slug:
encyclopedia
description:
Second order linear differential equation featuring a periodic function
original url:
https://en.wikipedia.org/wiki/Hill_differential_equation
date created:
date modified:
2024-03-19T22:26:17Z
main entity:
{"identifier":"Q1169848","url":"https://www.wikidata.org/entity/Q1169848"}
image:
fields total:
13
integrity:
14