Sturm–Liouville equation
linear second-order ordinary differential equation
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Sturm–Liouville equation
Summary
Sturm–Liouville equation is a linear differential equation[1]. It draws 4 Wikipedia views per month (linear_differential_equation category, ranking #2 of 1).[2]
Key Facts
- Sturm–Liouville equation's instance of is recorded as linear differential equation[3].
- Sturm–Liouville equation's instance of is recorded as ordinary differential equation[4].
- Sturm–Liouville equation's instance of is recorded as second order differential equation[5].
- Sturm–Liouville equation's instance of is recorded as mathematical concept[6].
- Charles Sturm is named after Sturm–Liouville equation[7].
- Joseph Liouville is named after Sturm–Liouville equation[8].
- Sturm–Liouville equation's Encyclopædia Britannica Online ID is recorded as science/Sturm-Liouville-problem[9].
- Sturm–Liouville equation's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/sturm-liouville[10].
- Sturm–Liouville equation's defining formula is recorded as -\frac1{w(x)}\left(\frac{\mathrm d}{\mathrm dx}\left(p(x)\frac{\mathrm d}{\mathrm dx}\right)+q(x)\right)y(x)=\lambda y(x)\qquad(y\in L^2([a,b],w(x)\,\mathrm dx)[11].
- Sturm–Liouville equation's studied by is recorded as Sturm–Liouville theory[12].
- Sturm–Liouville equation's Google Knowledge Graph ID is recorded as /g/12240nhn[13].
- Sturm–Liouville equation's MathWorld ID is recorded as Sturm-LiouvilleEquation[14].
- Sturm–Liouville equation's maintained by WikiProject is recorded as WikiProject Mathematics[15].
- Sturm–Liouville equation's ProofWiki ID is recorded as Definition:Sturm-Liouville_Equation[16].
- Sturm–Liouville equation's in defining formula is recorded as \lambda[17].
- Sturm–Liouville equation's in defining formula is recorded as -\frac1{w(x)}\left(\frac{\mathrm d}{\mathrm dx}\left(p(x)\frac{\mathrm d}{\mathrm dx}\right)+q(x)\right)[18].
- Sturm–Liouville equation's in defining formula is recorded as w(x)\,\mathrm dx[19].
- Sturm–Liouville equation's in defining formula is recorded as L^2([a,b],w(x)\,\mathrm dx)[20].
- Sturm–Liouville equation's in defining formula is recorded as [a,b][21].
- Sturm–Liouville equation's in defining formula is recorded as y[22].
Why It Matters
Sturm–Liouville equation draws 4 Wikipedia views per month (linear_differential_equation category, ranking #2 of 1).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[23] It is known by 9 alternative names across languages and contexts.[24]