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Integrating factors, adjoint equations and Lagrangians
Ansvarig organisation
2006 (Engelska)Ingår i: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 318, nr 2, s. 742-757Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Integrating factors and adjoint equations are determined for linear and non-linear differential equations of an arbitrary order. The new concept of an adjoint equation is used for construction of a Lagrangian for an arbitrary differential equation and for any system of differential equations where the number of equations is equal to the number of dependent variables. The method is illustrated by considering several equations traditionally regarded as equations without Lagrangians. Noether's theorem is applied to the Maxwell equations.

Abstract [sv]

Online: http://www.bth.se/ihn/alga.nsf/sidor/cc32aec8706331d0c125716b0041d97c!OpenDocume nt

Ort, förlag, år, upplaga, sidor
The Netherlands: Elsevier , 2006. Vol. 318, nr 2, s. 742-757
Nyckelord [en]
Integrating factors, adjoint equations, Lagrangian, Maxwell equationss
Nationell ämneskategori
Matematisk analys
Identifikatorer
URN: urn:nbn:se:bth-8839ISI: 000236623500026Lokalt ID: oai:bth.se:forskinfo496D99E709DAC24FC12573BE006F98D3OAI: oai:DiVA.org:bth-8839DiVA, id: diva2:836594
Tillgänglig från: 2012-09-18 Skapad: 2007-12-27 Senast uppdaterad: 2017-12-04Bibliografiskt granskad

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