Hill differential equation

en

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Hill differential equation

Quality:

Hill differential equation - second order linear differential equation featuring a periodic function. Article “Hill differential equation” in English Wikipedia has 22.9 points for quality (as of July 1, 2025). The article contains 9 references and 2 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Hill differential equation”, its content was written by 35 registered users of English Wikipedia and edited by 92 registered Wikipedia users in all languages.

The article is cited 25 times in English Wikipedia and cited 90 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #164773 in January 2012
  • Global: #178282 in September 2012

The highest popularity rank from 2008:

  • Local (English): #476799 in October 2011
  • Global: #691020 in October 2011

There are 11 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Hill differential equation
22.8718
2Chinese (zh)
希爾微分方程
15.607
3Catalan (ca)
Equació de Hill
15.6013
4German (de)
Hillsche Differentialgleichung
15.0513
5Slovenian (sl)
Hillova enačba (matematika)
14.5642
6Spanish (es)
Ecuación diferencial de Hill
13.2499
7Italian (it)
Equazione di Hill (matematica)
10.5091
8Ukrainian (uk)
Рівняння Гілла
10.1583
9Russian (ru)
Уравнение Хилла
9.0452
10Japanese (ja)
ヒル微分方程式
8.4771
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Hill differential equation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hill differential equation
159 775
2Russian (ru)
Уравнение Хилла
34 614
3German (de)
Hillsche Differentialgleichung
15 585
4French (fr)
Équation de Hill
9 125
5Japanese (ja)
ヒル微分方程式
8 792
6Italian (it)
Equazione di Hill (matematica)
8 416
7Spanish (es)
Ecuación diferencial de Hill
5 886
8Chinese (zh)
希爾微分方程
2 660
9Slovenian (sl)
Hillova enačba (matematika)
2 602
10Ukrainian (uk)
Рівняння Гілла
961
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Hill differential equation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hill differential equation
613
2Russian (ru)
Уравнение Хилла
118
3French (fr)
Équation de Hill
95
4Japanese (ja)
ヒル微分方程式
61
5German (de)
Hillsche Differentialgleichung
55
6Spanish (es)
Ecuación diferencial de Hill
48
7Chinese (zh)
希爾微分方程
36
8Italian (it)
Equazione di Hill (matematica)
34
9Slovenian (sl)
Hillova enačba (matematika)
6
10Ukrainian (uk)
Рівняння Гілла
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Hill differential equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hill differential equation
35
2Italian (it)
Equazione di Hill (matematica)
21
3German (de)
Hillsche Differentialgleichung
8
4Japanese (ja)
ヒル微分方程式
6
5Russian (ru)
Уравнение Хилла
6
6Spanish (es)
Ecuación diferencial de Hill
4
7French (fr)
Équation de Hill
4
8Ukrainian (uk)
Рівняння Гілла
3
9Slovenian (sl)
Hillova enačba (matematika)
2
10Chinese (zh)
希爾微分方程
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Hill differential equation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Ukrainian (uk)
Рівняння Гілла
1
2Catalan (ca)
Equació de Hill
0
3German (de)
Hillsche Differentialgleichung
0
4English (en)
Hill differential equation
0
5Spanish (es)
Ecuación diferencial de Hill
0
6French (fr)
Équation de Hill
0
7Italian (it)
Equazione di Hill (matematica)
0
8Japanese (ja)
ヒル微分方程式
0
9Russian (ru)
Уравнение Хилла
0
10Slovenian (sl)
Hillova enačba (matematika)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Hill differential equation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hill differential equation
25
2Ukrainian (uk)
Рівняння Гілла
9
3French (fr)
Équation de Hill
8
4Japanese (ja)
ヒル微分方程式
8
5Russian (ru)
Уравнение Хилла
8
6Spanish (es)
Ecuación diferencial de Hill
6
7Italian (it)
Equazione di Hill (matematica)
6
8Chinese (zh)
希爾微分方程
6
9Catalan (ca)
Equació de Hill
5
10Slovenian (sl)
Hillova enačba (matematika)
5
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Equació de Hill
deGerman
Hillsche Differentialgleichung
enEnglish
Hill differential equation
esSpanish
Ecuación diferencial de Hill
frFrench
Équation de Hill
itItalian
Equazione di Hill (matematica)
jaJapanese
ヒル微分方程式
ruRussian
Уравнение Хилла
slSlovenian
Hillova enačba (matematika)
ukUkrainian
Рівняння Гілла
zhChinese
希爾微分方程

Popularity rank trends

Best Rank English:
#476799
10.2011
Global:
#691020
10.2011

AI rank trends

Best Rank English:
#164773
01.2012
Global:
#178282
09.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hill differential equation from Wikipedia articles about Hill equation, Mathieu function, Floquet theory, List of named differential equations and George William Hill. Whereas reading the article about Hill differential equation people most often go to Wikipedia articles on Mathieu function, Floquet theory, Meissner equation, Hill equation and George William Hill.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information