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

A. A. Vladimirov

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

Spectral Theory 2011-07-26 v1

Authors: A. A. Vladimirov

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.

Keywords

fourth-order differential operator self-similar weight spectral asymptotics oscillation method Cantor type function self-adjoint boundary problems

Cite

@article{arxiv.1107.4791,
  title  = {Method of oscillation and spectral problem for four-order differential operator with self-similar weight},
  author = {A. A. Vladimirov},
  journal= {arXiv preprint arXiv:1107.4791},
  year   = {2011}
}

Comments

9 pages, 2 tables

Related papers

View all related →