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arxiv: math/0610646 · v1 · submitted 2006-10-21 · 🧮 math.FA · math.SP

On calculation of eigenvalues of Sturm-Liouville problem with indefinite weight having self-similar primitive

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keywords calculationeigenvalueshavingprimitiveproblemself-similardescribeddistribution
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A method of calculation of eigenvalues of the problem $-y''-\lambda\rho y=0$, $y(0)=y(1)=0$, where $\rho$ is a distribution having self-similar primitive $P\in L_2[0,1]$, is described.

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