In this work we study a Sturm-Liouville operator with a piece-wise continuous coefficient and
a spectral parameter in the boundary condition. We show that if the potential function is …

In this study, we discuss the inverse problem for the Sturm-Liouville operator with the
impulse and with the spectral boundary conditions on the finite interval (0, π). By taking the …

In this work, we investigate the vibrations of embankments by the singular Sturm-Liouville
equations. At first, we create the mathematical form of the vibrations by the shear beam (SB) …

In this work, the interior spectral data is employed to study the inverse problem for a
differential pencil with a discontinuity on the half line. By using a set of values of the …

Differential pencils on the half-line with a spectral boundary condition having a discontinuity
in an interior point are investigated. We prove two uniqueness theorems:(i) knowing β1, β0 …

In this work, inverse problems for singular Sturm-Liouville operators at the finite interval are
studied. In this study, we show the spectral characteristics and prove the uniqueness …

In this paper, a conformable fractional Sturm-Liouville equation with spectral boundary
conditions which includes conformable fractional derivatives is investigated. The …

In the present work, the interior spectral data is used to investigate the inverse problem for a
diffusion operator with an impulse on the half line. We show that the potential functions q …