Svetlana Ezhak, Maria Telnova
abstract:
We consider a Sturm-Liouville problem on the interval $(0,1)$ with Dirichlet
boundary conditions and a weighted integral condition on the potential which may
have singularities of different orders at the end-points of the interval
$(0,1)$. One upper estimate for the first eigenvalue for some values of
parameters in the integral condition is obtained.
Mathematics Subject Classification: 34L15
Key words and phrases: Sturm-Liouville problem, first eigenvalue, Dirichlet boundary conditions, weighted integral condition, minimization of the functional, variational principle, boundary-value problem