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Question about integral of the product of two continuous functions.

score 378 · Answer 1 · 2015-01-09 02:23:32

378

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Question about integral of the product of two continuous functions.

Published on 09 Jan 2015 - 2:23

score 101 · Answer 2 · 2015-01-09 07:23:32

101

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Solving the functional $\min \int_0^1xy^2+x^3y\;dx$

Published on 09 Jan 2015 - 7:23

score 966 · Answer 3 · 2026-03-27 23:38:29

966

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Complex solution to Euler-Lagrange equation?

Published on 27 Mar 2026 - 23:38

score 330 · Answer 4 · 2026-03-27 20:31:25

330

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Find the critical curves for the following functional

Published on 27 Mar 2026 - 20:31

score 3.2k · Answer 5 · 2015-01-11 05:25:10

3.2k

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Taylor series expansion in calculus of variations

Published on 11 Jan 2015 - 5:25

score 747 · Answer 6 · 2015-01-11 10:50:18

747

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Solving the functional $\min \int_0^1y^2y'^2\;dx,\;y(0)=0,\;y(1)=1$

Published on 11 Jan 2015 - 10:50

score 131 · Answer 7 · 2015-01-12 11:55:01

131

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Solving a differential equation $F-y'F_{y'}=C$, with $F(y,y')= \frac{1+2y'^2}{3y^3\sqrt{1+y'^2}}$

Published on 12 Jan 2015 - 11:55

score 96 · Answer 8 · 2015-01-12 19:00:01

96

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Special integrands in the calculus of variations

Published on 12 Jan 2015 - 19:00

score 447 · Answer 9 · 2026-02-23 21:13:02

447

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Why stronger norm defines weak local minimizer?

Published on 23 Feb 2026 - 21:13

score 160 · Answer 10 · 2015-01-15 07:22:29

160

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How to transform $ \int_a^b f(x^2+y(x)^2)\sqrt{1+y'(x)^2}\;dx$ into polar coordinates

Published on 15 Jan 2015 - 7:22

score 28.6k · Answer 11 · 2015-01-15 09:05:32

28.6k

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To find an extremal of the functional $\int_0^1 [(y')^2 + 12 xy] dx$

Published on 15 Jan 2015 - 9:05

score 3.6k · Answer 12 · 2015-01-15 15:45:37

3.6k

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Proof of Fundamental Lemma of Calculus of Variations

Published on 15 Jan 2015 - 15:45

score 372 · Answer 13 · 2015-01-17 14:06:22

372

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Calculus of variations with double integral, inner integral's upper limit is outer variable of integration

Published on 17 Jan 2015 - 14:06

score 141 · Answer 14 · 2015-01-18 21:22:35

141

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Solving a functional problem $\min\int_0^1(ay^2+2byy'+cy'^2)\;dx,\;y(0)=0, y(1)=1$

Published on 18 Jan 2015 - 21:22

score 60 · Answer 15 · 2015-01-19 11:59:13

60

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Is it possible to solve for $y(x)$ from $\min \int _a^bf(x^2+y^2)\sqrt{1+y'^2}\;dx$

Published on 19 Jan 2015 - 11:59

List Question

Question about integral of the product of two continuous functions.

Solving the functional $\min \int_0^1xy^2+x^3y\;dx$

Complex solution to Euler-Lagrange equation?

Find the critical curves for the following functional

Taylor series expansion in calculus of variations

Solving the functional $\min \int_0^1y^2y'^2\;dx,\;y(0)=0,\;y(1)=1$

Solving a differential equation $F-y'F_{y'}=C$, with $F(y,y')= \frac{1+2y'^2}{3y^3\sqrt{1+y'^2}}$

Special integrands in the calculus of variations

Why stronger norm defines weak local minimizer?

How to transform $ \int_a^b f(x^2+y(x)^2)\sqrt{1+y'(x)^2}\;dx$ into polar coordinates

To find an extremal of the functional $\int_0^1 [(y')^2 + 12 xy] dx$

Proof of Fundamental Lemma of Calculus of Variations

Calculus of variations with double integral, inner integral's upper limit is outer variable of integration

Solving a functional problem $\min\int_0^1(ay^2+2byy'+cy'^2)\;dx,\;y(0)=0, y(1)=1$

Is it possible to solve for $y(x)$ from $\min \int _a^bf(x^2+y^2)\sqrt{1+y'^2}\;dx$

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