Integrating factors, adjoint equations and Lagrangians
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2006 (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
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.
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.
Integrating factors, adjoint equations, Lagrangian, Maxwell equationss
IdentifiersURN: urn:nbn:se:bth-8839ISI: 000236623500026Local ID: oai:bth.se:forskinfo496D99E709DAC24FC12573BE006F98D3OAI: oai:DiVA.org:bth-8839DiVA: diva2:836594