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- Title
A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation.
- Authors
He, Hongjun; Pang, Zhifeng
- Abstract
This paper is devoted to modifying the Schrödinger-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 Schrödinger 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 Schrödinger equation is proved.
- Subjects
BOUNDARY value problems; SCHRODINGER equation; MATHEMATICAL analysis; FIXED point theory; MAXIMUM principles (Mathematics); SCHRODINGER operator
- Publication
Boundary Value Problems, 2019, Vol 2019, Issue 1, pN.PAG
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-019-1261-6