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Integrating factors, adjoint equations and Lagrangians
Responsible organisation
2006 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 318, no 2, 742-757 p.Article in journal (Refereed) 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

Place, publisher, year, edition, pages
The Netherlands: Elsevier , 2006. Vol. 318, no 2, 742-757 p.
Keyword [en]
Integrating factors, adjoint equations, Lagrangian, Maxwell equationss
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8839ISI: 000236623500026Local ID: oai:bth.se:forskinfo496D99E709DAC24FC12573BE006F98D3OAI: oai:DiVA.org:bth-8839DiVA: diva2:836594
Available from: 2012-09-18 Created: 2007-12-27 Last updated: 2015-06-30Bibliographically approved

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