2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152430Is considered the asymptotical behavior of spectral function $ρ(λ, ε),ε> 0$, of one family of self adjoint differential operators of second order, defined in space $L_2[0,+\infty)$ with potentials, depending on $ε$. Are given evaluations for the derivative of spectral function for negative $λ$ and is proved the weak convergence of $ρ'(λ, ε)$ to $ρ'(λ, 0)$ with $ε\to +0$.5 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutionary Problems (September, 18-29, 1996, Sevastopol, Ukraine)Functional AnalysisSpectral Theorytext