The inverse problem in the calculus of variations: new developments
Keyword(s):
Abstract We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n second order ordinary differential equations. A number of recent theorems are presented, using exterior differential systems theory (EDS). In particular, we indicate how to generalise Jesse Douglas’s famous solution for n = 2. We then examine a new class of solutions in arbitrary dimension n and give some non-trivial examples in dimension 3.
2020 ◽
Vol 28
(5)
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pp. 727-738
2006 ◽
Vol 16
(09)
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pp. 2729-2736
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