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http://hdl.handle.net/11154/3624
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Title: | LAGRANGIANS FOR DIFFERENTIAL-EQUATIONS OF ANY ORDER |
Authors: | HOJMAN, S PARDO, F DELISA, F Aulestia, L |
Issue Date: | 1992 |
Abstract: | In this work the inverse problem of the variational calculus for systems of differential equations of any order is analyzed. It is shown that, if a Lagrangian exists for a given regular system of differential equations, then it can be written as a linear combination of the equations of motion. The conditions that these coefficients must satisfy for the existence of an S-equivalent Lagrangian are also exhibited. A generalization is also made of the concept of Lagrangian symmetries and they are related with constants of motion. |
URI: | http://hdl.handle.net/11154/3624 |
ISSN: | 0022-2488 |
Appears in Collections: | Ciencias
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