Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Abel's_identity> ?p ?o. }
Showing items 1 to 37 of
37
with 100 items per page.
- Abel's_identity abstract ""Abel's formula" redirects here. For the formula on difference operators, see Summation by parts.In mathematics, Abel's identity (also called Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation.The relation can be generalised to nth-order linear ordinary differential equations. The identity is named after the Norwegian mathematician Niels Henrik Abel.Since Abel's identity relates the different linearly independent solutions of the differential equation, it can be used to find one solution from the other. It provides useful identities relating the solutions, and is also useful as a part of other techniques such as the method of variation of parameters. It is especially useful for equations such as Bessel's equation where the solutions do not have a simple analytical form, because in such cases the Wronskian is difficult to compute directly.A generalisation to first-order systems of homogeneous linear differential equations is given by Liouville's formula.".
- Abel's_identity wikiPageExternalLink ?PPN=PPN243919689_0004&DMDID=dmdlog31.
- Abel's_identity wikiPageExternalLink book-ode.
- Abel's_identity wikiPageID "3261224".
- Abel's_identity wikiPageRevisionID "605426991".
- Abel's_identity hasPhotoCollection Abel's_identity.
- Abel's_identity title "Abel's Differential Equation Identity".
- Abel's_identity urlname "AbelsDifferentialEquationIdentity".
- Abel's_identity subject Category:Articles_containing_proofs.
- Abel's_identity subject Category:Mathematical_identities.
- Abel's_identity subject Category:Niels_Henrik_Abel.
- Abel's_identity subject Category:Ordinary_differential_equations.
- Abel's_identity type Abstraction100002137.
- Abel's_identity type Attribute100024264.
- Abel's_identity type Communication100033020.
- Abel's_identity type DifferentialEquation106670521.
- Abel's_identity type Equation106669864.
- Abel's_identity type Identity104618070.
- Abel's_identity type MathematicalIdentities.
- Abel's_identity type MathematicalStatement106732169.
- Abel's_identity type Message106598915.
- Abel's_identity type OrdinaryDifferentialEquations.
- Abel's_identity type Personality104617562.
- Abel's_identity type Statement106722453.
- Abel's_identity comment ""Abel's formula" redirects here. For the formula on difference operators, see Summation by parts.In mathematics, Abel's identity (also called Abel's differential equation identity) is an equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation.The relation can be generalised to nth-order linear ordinary differential equations.".
- Abel's_identity label "Abel's identity".
- Abel's_identity label "Abelsche Identität".
- Abel's_identity label "Identità di Abel".
- Abel's_identity label "متطابقة أبيل".
- Abel's_identity sameAs Abelsche_Identität.
- Abel's_identity sameAs Identità_di_Abel.
- Abel's_identity sameAs m.091yty.
- Abel's_identity sameAs Q318714.
- Abel's_identity sameAs Q318714.
- Abel's_identity sameAs Abel's_identity.
- Abel's_identity wasDerivedFrom Abel's_identity?oldid=605426991.
- Abel's_identity isPrimaryTopicOf Abel's_identity.