On Two-Fold Expansion Formulas For A Singular Sturm-Liouville Operator

Abstract

In this paper, a singular Sturm-Liouville problem dependent spectral parameter in boundary condition is considered. Special solutions and scattering datas are defined. The resolvent operator is constructed and two-fold spectral expansion formulas in terms of scattering datas are obtained by using Titchmarsh method.

Keywords

• eigenfunctions
• expansion formula
• resolvent operator
• scattering data