Question

Why do Sturm-Liouville theorists call $\lambda$ (instead of $-\lambda$) the eigenvalue in the equation $Lu+\lambda u=0$?

score 232 · Answer 1 · 2017-02-15 03:57:16

232

Views

Why do Sturm-Liouville theorists call $\lambda$ (instead of $-\lambda$) the eigenvalue in the equation $Lu+\lambda u=0$?

Published on 15 Feb 2017 - 3:57

score 71 · Answer 2 · 2017-02-18 15:59:19

71

Views

How to prove this LDE can be simplified to with only real coefficients via subsitution.

Published on 18 Feb 2017 - 15:59

score 243 · Answer 3 · 2017-02-21 16:24:09

243

Views

$(u,\mathrm{A}v)=\int_{-1}^{1}u^*(x)\frac{d}{dx}[(x^2-1)\frac{d}{dx}v(x)]dx=(\mathrm{A}u,v)$

Published on 21 Feb 2017 - 16:24

score 452 · Answer 4 · 2026-03-26 16:06:43

452

Views

The eigenfunction of a regular Sturm–Liouville problem is either a real valued function or a complex constant multiplied by a real valued function.

Published on 26 Mar 2026 - 16:06

score 304 · Answer 5 · 2017-02-26 16:23:15

304

Views

How to calculate the coefficients in an IBVP which is solved using separation of variables?

Published on 26 Feb 2017 - 16:23

score 684 · Answer 6 · 2026-02-24 11:54:55

684

Views

Proof for Sturm Liouville eigenfunction expantion pointwise convergence theorem

Published on 24 Feb 2026 - 11:54

score 58 · Answer 7 · 2026-03-26 17:29:31

58

Views

Sturm–Liouville problem: approximating potential.

Published on 26 Mar 2026 - 17:29

score 399 · Answer 8 · 2017-03-15 19:24:45

399

Views

Solving a second-order linear ODE: $\frac{d^2 y}{dx^2}+(x+1)\cdot \frac{dy}{dx}+5x^2\cdot y=0$

Published on 15 Mar 2017 - 19:24

score 1.4k · Answer 9 · 2017-03-18 20:11:54

1.4k

Views

Is this Set of Bessel Functions a Basis for All $C^{1}[0,a]$ Functions?

Published on 18 Mar 2017 - 20:11

score 94 · Answer 10 · 2026-03-26 17:29:53

94

Views

Ordinary differential equation eigenvalues/eigenfuntions

Published on 26 Mar 2026 - 17:29

score 622 · Answer 11 · 2017-03-30 17:50:25

622

Views

Solve S.L problem

Published on 30 Mar 2017 - 17:50

score 543 · Answer 12 · 2017-04-01 23:38:44

543

Views

Questions about the proof of the Sturm oscillation theorem

Published on 01 Apr 2017 - 23:38

score 159 · Answer 13 · 2017-04-04 12:48:06

159

Views

Sturm-Liouville theory.

Published on 04 Apr 2017 - 12:48

score 174 · Answer 14 · 2026-03-27 18:07:45

174

Views

How to find Eigenfunction of this Sturm-Liouville problem

Published on 27 Mar 2026 - 18:07

score 46 · Answer 15 · 2023-02-20 19:07:14

46

Views

Finding the value of a constant in a Boundary Value Problem

Published on 20 Feb 2023 - 19:07

List Question

Why do Sturm-Liouville theorists call $\lambda$ (instead of $-\lambda$) the eigenvalue in the equation $Lu+\lambda u=0$?

How to prove this LDE can be simplified to with only real coefficients via subsitution.

$(u,\mathrm{A}v)=\int_{-1}^{1}u^*(x)\frac{d}{dx}[(x^2-1)\frac{d}{dx}v(x)]dx=(\mathrm{A}u,v)$

The eigenfunction of a regular Sturm–Liouville problem is either a real valued function or a complex constant multiplied by a real valued function.

How to calculate the coefficients in an IBVP which is solved using separation of variables?

Proof for Sturm Liouville eigenfunction expantion pointwise convergence theorem

Sturm–Liouville problem: approximating potential.

Solving a second-order linear ODE: $\frac{d^2 y}{dx^2}+(x+1)\cdot \frac{dy}{dx}+5x^2\cdot y=0$

Is this Set of Bessel Functions a Basis for All $C^{1}[0,a]$ Functions?

Ordinary differential equation eigenvalues/eigenfuntions

Solve S.L problem

Questions about the proof of the Sturm oscillation theorem

Sturm-Liouville theory.

How to find Eigenfunction of this Sturm-Liouville problem

Finding the value of a constant in a Boundary Value Problem

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