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

collaborators

3 papers

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.FA2007

The singular points of self-similar functions with zero spectral degree. Stieltjes self-similar string

I. A. Sheipak

The self-similar functions of zero spectral degree are defined. The singular points of these functions are investigated and full classification of points is given. The connection w…

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…