A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation
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 d...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1261-6 |
| _version_ | 1819074563241148416 |
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| author | Hongjun He Zhifeng Pang |
| author_facet | Hongjun He Zhifeng Pang |
| author_sort | Hongjun He |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T18:11:30Z |
| format | Article |
| id | doaj.art-2207c35bcca141eca0558eb7620e9034 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T18:11:30Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2207c35bcca141eca0558eb7620e90342022-12-21T18:54:47ZengSpringerOpenBoundary Value Problems1687-27702019-09-012019112010.1186/s13661-019-1261-6A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equationHongjun He0Zhifeng Pang1Department of Basic Teaching, Zhengzhou University of Industrial TechnologySchool of Mathematics and Statistics, Henan UniversityAbstract 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.http://link.springer.com/article/10.1186/s13661-019-1261-6Boundary value problemSchrödinger-type identityUniqueness |
| spellingShingle | Hongjun He Zhifeng Pang A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation Boundary Value Problems Boundary value problem Schrödinger-type identity Uniqueness |
| title | A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation |
| title_full | A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation |
| title_fullStr | A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation |
| title_full_unstemmed | A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation |
| title_short | A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation |
| title_sort | modified schrodinger type identity uniqueness of solutions for singular boundary value problem for the schrodinger equation |
| topic | Boundary value problem Schrödinger-type identity Uniqueness |
| url | http://link.springer.com/article/10.1186/s13661-019-1261-6 |
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