Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight |
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| Authors: | A A Vladimirov I A Sheipak |
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| Institution: | 1. Dorodnitsyn Computational Center, Russian Academy of Sciences, Moscow, Russia
2. Moscow State University, Moscow, Russia
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| Abstract: | We study the asymptotics of the spectrum of the boundary-value problem $$ - y'' - \lambda \rho y = 0,y(0) = y(1) = 0 $$ for the case in which the weight ρ ∈ W? 2 ?1 0, 1] is the generalized (in the sense of distributions) derivative of a self-similar function P ∈ L 20, 1] of zero spectral order. |
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