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Natural boundary conditions for a free endpoint

When the values of

y

are free at both fixed endpoint locations, integration by parts leaves the boundary term

[F_{y^{'}} η]_{a}^{b}

. Since the endpoint variations are arbitrary, stationarity requires

F_{y^{'}} (a) = F_{y^{'}} (b) = 0.

Table of contents 60 1
- Free-endpoint normal mode of a coupled variational functional Natural boundary conditions for a free endpoint 30

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