文章基本信息

标题：A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation
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作者：Hongjun He ; Zhifeng Pang
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2019
卷号：2019
期号：1
页码：1-20
DOI：10.1186/s13661-019-1261-6
出版社：Hindawi Publishing Corporation
摘要：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.
关键词：Boundary value problem; Schrödinger-type identity; Uniqueness