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- Picone_identity abstract "In the field of ordinary differential equations, the Picone identity, named after Mauro Picone, is a classical result about homogeneous linear second order differential equations. Since its inception in 1910 it has been used with tremendous success in association with an almost immediate proof of the Sturm comparison theorem, a theorem whose proof took up many pages in Sturm's original memoir of 1836. It is also useful in studying the oscillation of such equations and has been generalized to other type of differential equations and difference equations.The Picone identity is used to prove the Sturm comparison theorem (see also Sturm–Picone comparison theorem).".
- Picone_identity wikiPageID "10163390".
- Picone_identity wikiPageLength "1943".
- Picone_identity wikiPageOutDegree "12".
- Picone_identity wikiPageRevisionID "544737424".
- Picone_identity wikiPageWikiLink Category:Mathematical_identities.
- Picone_identity wikiPageWikiLink Category:Ordinary_differential_equations.
- Picone_identity wikiPageWikiLink Difference_equation.
- Picone_identity wikiPageWikiLink Differential_equation.
- Picone_identity wikiPageWikiLink Homogeneous_differential_equation.
- Picone_identity wikiPageWikiLink Mauro_Picone.
- Picone_identity wikiPageWikiLink Ordinary_differential_equation.
- Picone_identity wikiPageWikiLink Oscillation_(differential_equation).
- Picone_identity wikiPageWikiLink Oscillation_theory.
- Picone_identity wikiPageWikiLink Recurrence_relation.
- Picone_identity wikiPageWikiLink Self-adjoint_form.
- Picone_identity wikiPageWikiLink Sturm_comparison_theorem.
- Picone_identity wikiPageWikiLink Sturm–Liouville_theory.
- Picone_identity wikiPageWikiLink Sturm–Picone_comparison_theorem.
- Picone_identity wikiPageWikiLinkText "Picone identity".
- Picone_identity hasPhotoCollection Picone_identity.
- Picone_identity wikiPageUsesTemplate Template:Cite_journal.
- Picone_identity wikiPageUsesTemplate Template:Reflist.
- Picone_identity subject Category:Mathematical_identities.
- Picone_identity subject Category:Ordinary_differential_equations.
- Picone_identity hypernym Result.
- Picone_identity type Theorem.
- Picone_identity comment "In the field of ordinary differential equations, the Picone identity, named after Mauro Picone, is a classical result about homogeneous linear second order differential equations. Since its inception in 1910 it has been used with tremendous success in association with an almost immediate proof of the Sturm comparison theorem, a theorem whose proof took up many pages in Sturm's original memoir of 1836.".
- Picone_identity label "Picone identity".
- Picone_identity sameAs Identità_di_Picone.
- Picone_identity sameAs ピコーンの等式.
- Picone_identity sameAs m.02q3whj.
- Picone_identity sameAs Q3791816.
- Picone_identity sameAs Q3791816.
- Picone_identity wasDerivedFrom Picone_identity?oldid=544737424.
- Picone_identity isPrimaryTopicOf Picone_identity.