Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight
Abstract
The Sturm--Liouville problem -y''-λ y=0, y(0)=y(1)=0, where is a generalized derivative of self-similar function P∈ L2[0,1] with spectral degree D=0, is studied. Asymptotic formulas for eigenvalues are obtained.
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