فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on $\left[  0,\pi\right]  $ with the Robin boundary conditions and the jump conditions at the point $\dfrac{\pi}{2}$. We prove that two potentials functions on the whole interval and the parameters in the boundary and jump conditions can be determined from a set of eigenvalues for two cases: (i) The potentials are given on $\left(0,\dfrac{\pi}{4}\left(  \alpha+\beta\right)  \right)  .$ (ii) The potentials is given on $\left(  \dfrac{\pi}{4}\left(  \alpha+\beta\right)  ,\dfrac{\pi }{2}\left(  \alpha+\beta\right)  \right)  $, where $0<\alpha<\beta<1$ and $\alpha+\beta>1$, respectively.