View source for Mayer problem

One of the fundamental problems in the calculus of variations (cf. [[Variational calculus|Variational calculus]]) on a conditional extremum. The Mayer problem is the following: Find a minimum of the functional

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in the presence of differential constraints of the type

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and boundary conditions

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For details see [[Bolza problem|Bolza problem]].

The Mayer problem is named after A. Mayer, who studied necessary conditions for its solution (at the end of the 19th century).