I. Sheipak

most citedAsymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

2 citations · 2 across the 3 of their papers we have counts for

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math.SP2011

On the Neumann problem for Sturm-Liouville equation with self-similar Cantor type weight

A. A. Vladimirov, I. A. Sheipak

Sturm-Liouville problem with generalized derivative of self-similar Cantor type function as a weight is considered. Under Neumann and mixed boundary conditions the oscillating prop…

math.SP2007★ 2 cited

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

A. A. Vladimirov, I. A. Sheipak

The Sturm--Liouville problem $- y^{''} - λ ρ y = 0$ , $y (0) = y (1) = 0$ , where $ρ$ is a generalized derivative of self-similar function $P \in L_{2} [0, 1]$ with spectral degree D=0, is studied. Asymp…