Spectral expansion formula for a singular Sturm-Liouville problem

Kh. R. Mamedov, R. G. Farzullazadeh

In the space L2(0,∞) we investigate Sturm-Liouville operator with a nonlinear spectral parameter in the boundary condition. For the problem the scattering data is defined, the resolvent operator is constructed, and using Titchmarsh’s method the two-fold expansion formulas in terms of scattering data are obtained. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 167-176