Sturm–Liouville theory

theory of 2nd‐order linear ODEs that are eigenvalue equations of the operator 𝑤(𝑥)⁻¹((d∕d𝑥)𝑝(𝑥)d∕d𝑥+𝑞(𝑥))
Intangible mathematical_concept Q1154082
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Sturm–Liouville theory

Summary

Sturm–Liouville theory is a mathematical concept[1]. It ranks in the top 7% of mathematical_concept entities by monthly Wikipedia readership (347 views/month).[2]

Key Facts

  • Sturm–Liouville theory's instance of is recorded as mathematical concept[3].
  • Sturm–Liouville theory's instance of is recorded as theory[4].
  • Joseph Liouville is named after Sturm–Liouville theory[5].
  • Charles Sturm is named after Sturm–Liouville theory[6].
  • Sturm–Liouville theory's subclass of is recorded as mathematical problem[7].
  • Sturm–Liouville theory's part of is recorded as analysis of partial differential equations[8].
  • Sturm–Liouville theory's Freebase ID is recorded as /m/02gtky[9].
  • Sturm–Liouville theory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/sturm-liouville-theory[10].
  • Sturm–Liouville theory's Quora topic ID is recorded as Sturm-Liouville-Theory[11].
  • Sturm–Liouville theory's JSTOR topic ID is recorded as sturm-liouville-theory[12].
  • Sturm–Liouville theory's nLab ID is recorded as Sturm-Liouville theory[13].
  • Sturm–Liouville theory's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Sturm–Liouville theory's Microsoft Academic ID is recorded as 22892174[15].
  • Sturm–Liouville theory's ProofWiki ID is recorded as Definition:Sturm-Liouville_Theory[16].
  • Sturm–Liouville theory's OpenAlex ID is recorded as C22892174[17].

Why It Matters

Sturm–Liouville theory ranks in the top 7% of mathematical_concept entities by monthly Wikipedia readership (347 views/month).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[18] It is known by 22 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Quora. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Sturm–Liouville theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/sturm-liouville-theory
MLA “Sturm–Liouville theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sturm-liouville-theory.
BibTeX @misc{4ortxyz_sturm-liouville-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sturm–Liouville theory}}, year = {2026}, url = {https://4ort.xyz/entity/sturm-liouville-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sturm–Liouville theory — https://4ort.xyz/entity/sturm-liouville-theory (retrieved 2026-05-03)

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