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

Self-adjoint boundary problems for the equation $y^{(4)}-λρy=0$ with generalized derivative $ρ\in W_2^{-1}[0,1]$ 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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