Method of oscillation and spectral problem for four-order differential operator with self-similar weight

Abstract

Self-adjoint boundary problems for the equation $y^{(4)}-\lambda \rho y=0$ with generalized derivative $\rho \in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered. Using the oscillating properties of the eigenfunctions, the spectral asymptotics are made more precise then in previous papers.

9 pages, 2 tables

Cited by in corpus (1)

• On spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with self-similar generalized Cantor type weight