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  • 标题:A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation
  • 本地全文:下载
  • 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
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