Self-similar functions in L₂[0,1] and Sturm--Liouville Problem with singular indefinite weight
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problemself-similarasymptoticderivativeeigenvaluesformulasfunctionfunctions
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In the paper the Sturm-Liouville problem $-y''-\rho y=0$, $y(0)=y(1)=0$ is studied. $\rho$ is a generalized derivative of function $P\in L_2[0,1]$. For self-similar $P$ asymptotic formulas for eigenvalues are obtained.
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