A modified Schrodinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrodinger equation

This paper is devoted to modifying the Schrodinger-type identity related to singular boundary value problem in (Zhang et al. in Bound. Value Probl. 2018:135, 2018). We also present some mathematical consequences of the method, including a stability result. The main technical tools used to develop the mathematical analysis are local and global bifurcation, monotonicity techniques, fixed point theory in b-metric spaces in (Liu et al. in Bull. Aust. Math. Soc. 94(1):121-130, 2016) and the maximum principle approach with respect to the Schrodinger operator in (Fan et al. in Math. Appl. 31(1):42-48, 2018). As an application, the uniqueness of solutions for singular boundary value problem for the Schrodinger equation is proved.