Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weight

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71267In the paper the Sturm-Liouville problem $-y''-ρy=0$, $y(0)=y(1)=0$ is studied. $ρ$ is a generalized derivative of function $P\in L_2[0,1]$. For self-similar $P$ asymptotic formulas for eigenvalues are obtained.18 pages, 2 tables, 1 figureFunctional Analysis34L20; 34B09Self-similar functions in $L_2[0,1]$ and Sturm--Liouville Problem with singular indefinite weighttext