Minimizing a functional:(adsbygoogle = window.adsbygoogle || []).push({});

When you know the values of the function y(x) on the boundary points y(x1) and y(x2), minimizing the functional ∫{L(x,y,y')} yields the Euler-Lagrange equation.

How can you minimize the functional if, instead, you know the derivatives y'(x1) and y'(x2)?

What if you know y(x1), y(x2), y'(x1) and y'(x2)?

Thank you for your help.

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# Calculus of variations for known derivative on both extremes

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