On the inverse variational problem in classical mechanics (Q2737708)
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scientific article; zbMATH DE number 1638884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the inverse variational problem in classical mechanics |
scientific article; zbMATH DE number 1638884 |
Statements
30 August 2001
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Lagrange function
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necessary and sufficient Helmholtz conditions
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inverse variational problem
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Euler-Lagrange equations
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On the inverse variational problem in classical mechanics (English)
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Using elementary methods, the authors discuss the problem of finding a Lagrange function whose Euler-Lagrange equations will be equivalent to a given set of differential equations. Necessary and sufficient conditions for the existence of Lagrange function are given by Helmholtz in 1887. Here, motivated by an interesting example, the authors construct a class of Lagrangians satisfying certain type of equivalence with a given Lagrangian.NEWLINENEWLINEFor the entire collection see [Zbl 0967.00038].
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