Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point

Abstract In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. classical literature, there are plenty papers considering positive values weight function in both continuous discontinuous cases. However, article differs from others terms appearing at We generate function, resolvent operator, discrete spectrum using hyperbolic representations fundamental solutions. Finally, create example to show article’s primary conclusions.