Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight
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math.FA
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eigenvaluesproblemself-similarsturm--liouvilleasymptoticasymptoticsdegreederivative
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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.
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