Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

A. A. Vladimirov; I. A. Sheipak

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arXiv · 0709.0424

Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

A. A. Vladimirov·I. A. Sheipak

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Abstract

The Sturm--Liouville problem $-y''-λρy=0$, $y(0)=y(1)=0$, where $ρ$ is a generalized derivative of self-similar function $P\in L_2[0,1]$ with spectral degree D=0, is studied. Asymptotic formulas for eigenvalues are obtained.

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A. A. Vladimirov, I. A. Sheipak. 2007-09-04. Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight. https://arxiv.org/abs/0709.0424

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