Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

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...

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Main Authors: Jianjie Wang, Ali Mai, Hong Wang
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Boundary Value Problems
Subjects:
Integrable boundary value
Nonlinear Schrödinger differential equation
Schrödinger fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13661-018-0993-z
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spelling doaj-3a03fec4f2ba4638bb193330a0a59d6c2020-11-25T02:32:02ZengSpringerOpenBoundary 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
collection DOAJ
language English
format Article
sources DOAJ
author Jianjie Wang
Ali Mai
Hong Wang
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
author_facet Jianjie Wang
Ali Mai
Hong Wang
author_sort Jianjie Wang
title 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_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_sort existence and uniqueness of solutions for the schrödinger integrable boundary value problem
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2018-05-01
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.
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
_version_ 1724821961146630144

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