A new method for the construction of a Lagrangian
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In this paper, the necessary condition for the existence of a Lagrangian for the ordered direct analytic representation of a system of second-order ordinary differential equations on a connected domain is given. Under that condition, a new method for the construction of the Lagrangian is proposed. The domain of definition of the constructed Lagrangian might be diminished.
Key WordsLagrangian mechanics inverse problems
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