Indefinite Sturm--Liouville problem for some classes of self-similar singular weights

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dc.creatorSheipak, I. A.
dc.creatorVladimirov, A. A.
dc.date2005-07-01
dc.date.accessioned2026-07-07T05:21:18Z
dc.date.available2026-07-07T05:21:18Z
dc.descriptionWe study the Sturm-Liouville problem $-y''-ρy=0$, $y(0)=y(1)=0$. $ρ$ is a generalized derivative of function $P\in L_2[0,1]$. For self-similar $P$ asymptotic formulas for eigenvalues are obtained. In this paper we consider two cases of self-similarity of $P$: 1) arithmetic degenerate, and 2) non-arithmetic.
dc.description11 pages, 1 table
dc.identifierhttps://arxiv.org/abs/math/0507017
dc.identifierhttp://arxiv.org/abs/math/0507017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75644
dc.subjectFunctional Analysis
dc.subject34L20; 34B09
dc.titleIndefinite Sturm--Liouville problem for some classes of self-similar singular weights
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