An impulsive Sturm-Liouville problem with boundary conditions containing Herglotz-Nevanlinna type functions

Abstract

In this article, an impulsive Sturm-Liouville boundary value problem with boundary conditions contain Herglotz-Nevanlinna type rational functions of the spectral parameter is considered. It is shown that the coefficients of the problem are uniquely determined by either the Weyl function or by the Prüfer angle or by the classical spectral data consist of eigenvalues and norming constants. © 2015 NSP.