Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

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Vladimirov, A. A.
Sheipak, I. A.
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Abstract
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The Sturm--Liouville problem $-y''-\lambda\rho y=0$, $y(0)=y(1)=0$, where $\rho$ is a generalized derivative of self-similar function $P\in L_2[0,1]$ with spectral degree D=0, is studied. Asymptotic formulas for eigenvalues are obtained.
Comment: 8 pages, 3 tables
Keywords
Mathematics - Spectral Theory, Mathematics - Functional Analysis, 34L20, 34B09
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