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

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

2011-07-24

arxiv.org/abs/1107.4791v1

Mathematics

Spectral Theory

9 pages, 2 tables

Scientific paper

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.

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