Home › Entities › theorem › Sturm–Picone comparison theorem

Sturm–Picone comparison theorem

mathematical theorem which provides criteria for the oscillation and non-oscillation of solutions of certain linear differential equations in the real domain
Intangible theorem Q3983968

Facts

6 properties
Instance of
theorem
Part of
list of theorems[4]
Maintained by WikiProject
WikiProject Mathematics[8]
Named after
Charles Sturm, Mauro Picone[2][3]
Proved by
Charles Sturm, Mauro Picone[5][6]
Studied by
calculus[7]
🏷️ Also known as
en Sturm comparison theorem en Sturm-Picone comparison theorem en Sturm–Picone comparison theorem fr théorème de comparaison de Sturm-Picone it Teorema del confronto di Sturm-Picone ja スツルム＝ピコーンの比較定理 ru Теорема сравнения Штурма
🔖 Identifiers · 2
Freebase ID
/m/02q3v8l
Microsoft Academic ID (discontinued)
67470196

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Created notable works 2
Charles Sturm, Mauro Picone
Named after 2
Charles Sturm, Mauro Picone
Proved by 2
Charles Sturm, Mauro Picone
Instance of 1
theorem
Maintained by WikiProject 1
WikiProject Mathematics
Part of 1
list of theorems
Studied by 1
calculus
Press Enter · cited answer in seconds

Summary

Sturm–Picone comparison theorem is a theorem[1].

Related Entities

Charles Sturm

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. 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–Picone comparison theorem. Retrieved November 7, 2026, from https://4ort.xyz/entity/sturm-picone-comparison-theorem
MLA “Sturm–Picone comparison theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Nov. 2026, https://4ort.xyz/entity/sturm-picone-comparison-theorem.
BibTeX @misc{4ortxyz_sturm-picone-comparison-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sturm–Picone comparison theorem}}, year = {2026}, url = {https://4ort.xyz/entity/sturm-picone-comparison-theorem}, note = {Accessed: 2026-11-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sturm–Picone comparison theorem — https://4ort.xyz/entity/sturm-picone-comparison-theorem (retrieved 2026-11-07)

Canonical URL: https://4ort.xyz/entity/sturm-picone-comparison-theorem · Last refreshed: