Research Papers

Generalized family of Takagi functions in some spectral problems

V. A. Romanov^a, I. A. Sheipak<sup>ba

a</sup> Lomonosov Moscow State University
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: This article considers an operator model for the Sturm-Liouville problem with a singular weight. The weight is considered to be the generalized derivatives of a modified family of Takagi functions. The asymptotic behavior of the eigenvalues was obtained for the case where the Takagi family function has bounded variation.

Keywords: Singular string, modified Takagi function family, asymptotics of eigenvalues.

Received: 22.07.2025