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Constructing a Green function for Sturm - Liouville operator

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#greens-function #sturm-liouville
230
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How do you solve the following nonhomogeneous eigenvalue problem?

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#ordinary-differential-equations #eigenvalues-eigenvectors #eigenfunctions #sturm-liouville
90
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How to solve a Sturm-Louiville Problem with nonhomogeneous BCs

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#partial-differential-equations #sturm-liouville
165
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Solving $y''=\lambda y$

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#real-analysis #ordinary-differential-equations #sturm-liouville
81
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Rayleigh Quotient on Legendre´s Differential Equation

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#eigenfunctions #sturm-liouville #partial-differential-equations
75
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How to solve $y''(t)+λy(t)=0 $

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#ordinary-differential-equations #sturm-liouville
21
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General asymptotic result for $N(\lambda)$ in determining asymptotic distribution of eigenvalues

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#eigenvalues-eigenvectors #asymptotics #eigenfunctions #sturm-liouville
738
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How to prove that the eigenvalues of this Sturm-Liouville problem are all positive?

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#ordinary-differential-equations #eigenfunctions #sturm-liouville
52
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Sturm-Liouville solution satisfies some integral equation involving sine function

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#ordinary-differential-equations #sturm-liouville
1.9k
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The Node Theorem - an argument from physics

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#quantum-mechanics #sturm-liouville
170
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SL-Eigenvalue/function problem with arbitrary boundary values

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#ordinary-differential-equations #eigenvalues-eigenvectors #boundary-value-problem #eigenfunctions #sturm-liouville
603
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$x''+\lambda x=0$ for $x\left(0\right)=x\left(L\right)=0\:$ for $L>0$ - it turns out that L must be dependent on t, but that shouldn't be the case

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#ordinary-differential-equations #differential #sturm-liouville
40
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What type of substitution to use?

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#ordinary-differential-equations #sturm-liouville
117
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Bar problem and heat conduction equation

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#ordinary-differential-equations #partial-differential-equations #heat-equation #sturm-liouville
363
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Real solution of Kummer's equation

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#ordinary-differential-equations #sturm-liouville #kummer-theory

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