Abstract
As we have seen in chapter 2, the solution of the problem of finding an extremum of the functional
amounts to solving the Euler equation \({f_x} - \frac{d}{{dt}}{f_{\dot x}} = 0\) . Since this is generally a second order differential equation, its solution involves two arbitrary constants which are determined by boundary conditions. These differ from problem to problem. They will now be discussed, starting from the simplest case of two fixed end points.
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© 1984 Springer-Verlag Berlin Heidelberg
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Van Tu, P.N. (1984). Boundary Conditions in Variational Problems. In: Introductory Optimization Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00719-8_3
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DOI: https://doi.org/10.1007/978-3-662-00719-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13305-6
Online ISBN: 978-3-662-00719-8
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