Abstract:
The question of the asymptotic behaviour of the spectrum of the boundary
value problem
\begin{equation*}
-y''-\lambda\rho y=0,
\qquad
y(0)=y(1)=0,
\end{equation*}
is considered,
where $\rho$ is a function in $\mathring W_2^{-1}[0,1]$ with arithmetically
self-similar primitive function. It is not assumed here that
the weight $\rho$ has a constant sign. The theoretical
results obtained are illustrated by the data of numerical
calculations.
Bibliography: 10 titles.
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