Journal
Turkish Journal of Science
Volume & Issue
Volume 5, Issue 3
Published on
December 4, 2020
Pages
186-198
DOI
Article
Half inverse problems for the impulsive singular diffusion operator
Authors
Rauf AMiROV,Abdullah ERGUN
Abstract
In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on [0, π] with the Robin boundary conditions and the jump conditions at the point π/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 is given on (0, π/4). (ii) The potentials is given on (α + β, π/2), where 0 < α + β 1 respectively. Finally, was given interior inverse problem for same boundary problem.