Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem
Abstract This paper is mainly devoted to the study of one kind of nonlinear Schrödinger differential equations. Under the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schröd...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-0993-z |
| _version_ | 1819115107480764416 |
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| author | Jianjie Wang Ali Mai Hong Wang |
| author_facet | Jianjie Wang Ali Mai Hong Wang |
| author_sort | Jianjie Wang |
| collection | DOAJ |
| description | Abstract This paper is mainly devoted to the study of one kind of nonlinear Schrödinger differential equations. Under the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point theorem. |
| first_indexed | 2024-12-22T04:55:56Z |
| format | Article |
| id | doaj.art-3a03fec4f2ba4638bb193330a0a59d6c |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-22T04:55:56Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-3a03fec4f2ba4638bb193330a0a59d6c2022-12-21T18:38:22ZengSpringerOpenBoundary Value Problems1687-27702018-05-012018111310.1186/s13661-018-0993-zExistence and uniqueness of solutions for the Schrödinger integrable boundary value problemJianjie Wang0Ali Mai1Hong Wang2College of Applied Mathematics, Shanxi University of Finance and EconomicsDepartment of Applied Mathematics, Yuncheng UniversityFaculty of Science and Technology, Universiti Kebangsaan MalaysiaAbstract This paper is mainly devoted to the study of one kind of nonlinear Schrödinger differential equations. Under the integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point theorem.http://link.springer.com/article/10.1186/s13661-018-0993-zIntegrable boundary valueNonlinear Schrödinger differential equationSchrödinger fixed point theorem |
| spellingShingle | Jianjie Wang Ali Mai Hong Wang Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem Boundary Value Problems Integrable boundary value Nonlinear Schrödinger differential equation Schrödinger fixed point theorem |
| title | Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem |
| title_full | Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem |
| title_fullStr | Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem |
| title_full_unstemmed | Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem |
| title_short | Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem |
| title_sort | existence and uniqueness of solutions for the schrodinger integrable boundary value problem |
| topic | Integrable boundary value Nonlinear Schrödinger differential equation Schrödinger fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13661-018-0993-z |
| work_keys_str_mv | AT jianjiewang existenceanduniquenessofsolutionsfortheschrodingerintegrableboundaryvalueproblem AT alimai existenceanduniquenessofsolutionsfortheschrodingerintegrableboundaryvalueproblem AT hongwang existenceanduniquenessofsolutionsfortheschrodingerintegrableboundaryvalueproblem |