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arXiv · 1107.4791

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

A. A. Vladimirov
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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.

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A. A. Vladimirov. 2011-07-24. Method of oscillation and spectral problem for four-order differential operator with self-similar weight. https://arxiv.org/abs/1107.4791

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