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Solution verification for finding an extremal under constraints

score 480 · Answer 1 · 2026-03-26 09:39:17

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Solution verification for finding an extremal under constraints

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score 53 · Answer 2 · 2014-11-12 23:46:58

53

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score 82 · Answer 3 · 2014-11-16 08:37:33

82

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score 49 · Answer 4 · 2014-11-17 23:32:43

49

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score 432 · Answer 7 · 2014-11-24 23:44:03

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score 382 · Answer 15 · 2026-03-26 09:40:03

382

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Proving the shortest function connecting two points is a straight line WITHOUT assuming the Euler-Lagrange equation

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List Question

Solution verification for finding an extremal under constraints

Does $x^*(t) =(\frac{2 - e + e^2}{2 - 2e^2})e^t + (\frac{e - 3e^2}{2 - 2e^2})e^{-t} + \frac{1}{2}te^{-t}$ contain corner points?

Find the first-variational curve which corresponds to the functional $\int_{-1}^1 t^2 \dot{x}^2 dt$ when $x(-1) = -1$ and $x(1) = 1$.

Determine whether it's min or max of functional.

Functional derivative of a repeated integral

How do first integrals help you solve differential equations?

I want to find Euler-Lagrange equation for the given functional.

Relation between Fourier components of a positive function

Show $\inf_f\int_0^1|f'(x)-f(x)|dx=1/e$ for continuously differentiable functions with $f(0)=0$, $f(1)=1$.

Doubt in the derivation of the field Euler-Lagrange equations

Solving differential equation by weak formulation and minimizing a functional

What does this sentence regarding the Riemannian metric mean?

Solving for f(t) in presence of f'(t)

Smooth and Lipschitz domains

Proving the shortest function connecting two points is a straight line WITHOUT assuming the Euler-Lagrange equation

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